kilobytes = 45.7224533899443 q = 3 m = 7 n = 1124 s = 0 t = 20 u = 40 k = 844 w = 30 ciphertext = [2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2] recovered_plaintext_using_secret_key = True pubkeycol280 = [0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol281 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol282 = [1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0] pubkeycol283 = [0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol284 = [0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2] pubkeycol285 = [0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2] pubkeycol286 = [0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol287 = [2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0] pubkeycol288 = [1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol289 = [2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol290 = [0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol291 = [2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0] pubkeycol292 = [1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol293 = [2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol294 = [0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol295 = [1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1] pubkeycol296 = [0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol297 = [0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2] pubkeycol298 = [1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol299 = [1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol300 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol301 = [0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol302 = [2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2] pubkeycol303 = [1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0] pubkeycol304 = [2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol305 = [2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol306 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol307 = [0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0] pubkeycol308 = [0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol309 = [0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol310 = [0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1] pubkeycol311 = [0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol312 = [1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol313 = [0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol314 = [1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol315 = [0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1] pubkeycol316 = [2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2] pubkeycol317 = [1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol318 = [0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol319 = [1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1] pubkeycol320 = [0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol321 = [1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol322 = [2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol323 = [0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol324 = [2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1] pubkeycol325 = [0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2] pubkeycol326 = [1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol327 = [1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol328 = [2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol329 = [2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol330 = [0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1] pubkeycol331 = [2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol332 = [0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1] pubkeycol333 = [1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2] pubkeycol334 = [1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol335 = [1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol336 = [1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol337 = [2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2] pubkeycol338 = [0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol339 = [0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol340 = [0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol341 = [0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol342 = [2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol343 = [1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2] pubkeycol344 = [2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol345 = [1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol346 = [0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol347 = [0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol348 = [0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol349 = [0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1] pubkeycol350 = [2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol351 = [0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol352 = [0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1] pubkeycol353 = [2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol354 = [0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol355 = [1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol356 = [1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1] pubkeycol357 = [0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol358 = [0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol359 = [2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0] pubkeycol360 = [1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol361 = [0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol362 = [0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1] pubkeycol363 = [1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol364 = [0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0] pubkeycol365 = [2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2] pubkeycol366 = [1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol367 = [0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0] pubkeycol368 = [0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol369 = [0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0] pubkeycol370 = [2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2] pubkeycol371 = [0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol372 = [0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2] pubkeycol373 = [2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol374 = [0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol375 = [2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol376 = [1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2] pubkeycol377 = [1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol378 = [2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol379 = [1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1] pubkeycol380 = [1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol381 = [2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1] pubkeycol382 = [2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2] pubkeycol383 = [1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol384 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol385 = [2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol386 = [0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol387 = [1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol388 = [2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0] pubkeycol389 = [1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2] pubkeycol390 = [1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol391 = [0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2] pubkeycol392 = [2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2] pubkeycol393 = [1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol394 = [1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol395 = [1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol396 = [1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol397 = [0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol398 = [0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol399 = [1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol400 = [2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1] pubkeycol401 = [0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1] pubkeycol402 = [1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol403 = [1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol404 = [0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1] pubkeycol405 = [0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0] pubkeycol406 = [0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol407 = [2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol408 = [0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2] pubkeycol409 = [0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol410 = [0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol411 = [0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0] pubkeycol412 = [2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0] pubkeycol413 = [0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol414 = [1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol415 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol416 = [2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol417 = [0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol418 = [2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0] pubkeycol419 = [2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0] pubkeycol420 = [0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0] pubkeycol421 = [1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol422 = [2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1] pubkeycol423 = [0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2] pubkeycol424 = [2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol425 = [0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol426 = [0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol427 = [1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol428 = [2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol429 = [1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0] pubkeycol430 = [0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol431 = [1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol432 = [2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol433 = [2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol434 = [0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0] pubkeycol435 = [2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0] pubkeycol436 = [1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1] pubkeycol437 = [2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol438 = [2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol439 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2] pubkeycol440 = [0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2] pubkeycol441 = [2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol442 = [0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol443 = [1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol444 = [1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol445 = [0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol446 = [1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1] pubkeycol447 = [1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol448 = [2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2] pubkeycol449 = [1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol450 = [1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1] pubkeycol451 = [1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol452 = [1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol453 = [0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol454 = [1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1] pubkeycol455 = [0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0] pubkeycol456 = [2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol457 = [2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2] pubkeycol458 = [2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol459 = [2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2] pubkeycol460 = [0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol461 = [0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol462 = [2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1] pubkeycol463 = [2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2] pubkeycol464 = [1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol465 = [2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2] pubkeycol466 = [0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol467 = [1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0] pubkeycol468 = [1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2] pubkeycol469 = [0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0] pubkeycol470 = [1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0] pubkeycol471 = [2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol472 = [1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1] pubkeycol473 = [2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol474 = [2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol475 = [0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1] pubkeycol476 = [1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0] pubkeycol477 = [0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol478 = [0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol479 = [2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2] pubkeycol480 = [1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol481 = [2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0] pubkeycol482 = [1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol483 = [1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol484 = [2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol485 = [2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2] pubkeycol486 = [1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol487 = [0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol488 = [2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0] pubkeycol489 = [2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2] pubkeycol490 = [1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol491 = [0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol492 = [0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol493 = [2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol494 = [2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol495 = [0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1] pubkeycol496 = [2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0] pubkeycol497 = [2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol498 = [0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0] pubkeycol499 = [0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol500 = [0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol501 = [2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2] pubkeycol502 = [1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2] pubkeycol503 = [1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol504 = [1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol505 = [1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol506 = [2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol507 = [0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol508 = [1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0] pubkeycol509 = [2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2] pubkeycol510 = [1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2] pubkeycol511 = [2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol512 = [0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol513 = [0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0] pubkeycol514 = [0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol515 = [0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol516 = [0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol517 = [2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol518 = [1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol519 = [2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol520 = [0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol521 = [1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0] pubkeycol522 = [0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol523 = [2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol524 = [2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol525 = [1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1] pubkeycol526 = [1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol527 = [1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2] pubkeycol528 = [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol529 = [2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol530 = [0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2] pubkeycol531 = [0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol532 = [0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol533 = [0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol534 = [1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol535 = [1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0] pubkeycol536 = [0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0] pubkeycol537 = [2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1] pubkeycol538 = [0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2] pubkeycol539 = [0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1] pubkeycol540 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0] pubkeycol541 = [2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2] pubkeycol542 = [0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol543 = [0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2] pubkeycol544 = [1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2] pubkeycol545 = [2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol546 = [0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol547 = [2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2] pubkeycol548 = [1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol549 = [2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2] pubkeycol550 = [0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1] pubkeycol551 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol552 = [1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol553 = [0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol554 = [0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1] pubkeycol555 = [0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol556 = [2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol557 = [0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol558 = [0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1] pubkeycol559 = [0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0] pubkeycol560 = [1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0] pubkeycol561 = [1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol562 = [1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0] pubkeycol563 = [0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2] pubkeycol564 = [0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol565 = [2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol566 = [1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol567 = [2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol568 = [2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2] pubkeycol569 = [0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1] pubkeycol570 = [0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol571 = [1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1] pubkeycol572 = [1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol573 = [0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol574 = [1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2] pubkeycol575 = [1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol576 = [1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol577 = [1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol578 = [0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol579 = [1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol580 = [1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol581 = [2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2] pubkeycol582 = [2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2] pubkeycol583 = [0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol584 = [2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1] pubkeycol585 = [2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol586 = [1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol587 = [2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol588 = [0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol589 = [2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol590 = [1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol591 = [2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol592 = [0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol593 = [1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol594 = [1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol595 = [0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol596 = [1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol597 = [0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0] pubkeycol598 = [0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol599 = [0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol600 = [2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2] pubkeycol601 = [1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol602 = [2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol603 = [1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0] pubkeycol604 = [1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2] pubkeycol605 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1] pubkeycol606 = [0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol607 = [2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1] pubkeycol608 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol609 = [0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol610 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol611 = [0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol612 = [1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol613 = [2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol614 = [0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1] pubkeycol615 = [2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol616 = [2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1] pubkeycol617 = [1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2] pubkeycol618 = [2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2] pubkeycol619 = [0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol620 = [2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1] pubkeycol621 = [0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0] pubkeycol622 = [0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol623 = [2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol624 = [0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol625 = [0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0] pubkeycol626 = [2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol627 = [0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1] pubkeycol628 = [1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol629 = [1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol630 = [1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol631 = [2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol632 = [0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0] pubkeycol633 = [1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1] pubkeycol634 = [0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2] pubkeycol635 = [2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol636 = [1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1] pubkeycol637 = [2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol638 = [1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol639 = [2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol640 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2] pubkeycol641 = [1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol642 = [0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol643 = [0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol644 = [0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol645 = [1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol646 = [1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0] pubkeycol647 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0] pubkeycol648 = [0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol649 = [0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol650 = [2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1] pubkeycol651 = [2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol652 = [1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1] pubkeycol653 = [2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol654 = [2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol655 = [1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol656 = [0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1] pubkeycol657 = [1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol658 = [2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2] pubkeycol659 = [0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol660 = [0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0] pubkeycol661 = [2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol662 = [2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol663 = [2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol664 = [0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol665 = [1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol666 = [0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol667 = [1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol668 = [2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol669 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol670 = [0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2] pubkeycol671 = [1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2] pubkeycol672 = [0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0] pubkeycol673 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol674 = [0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol675 = [0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol676 = [0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2] pubkeycol677 = [0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0] pubkeycol678 = [0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol679 = [0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0] pubkeycol680 = [0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol681 = [1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol682 = [2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol683 = [1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1] pubkeycol684 = [1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol685 = [0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1] pubkeycol686 = [1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1] pubkeycol687 = [2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol688 = [0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol689 = [2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol690 = [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol691 = [0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol692 = [0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol693 = [2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol694 = [2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol695 = [2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1] pubkeycol696 = [0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2] pubkeycol697 = [0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol698 = [0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1] pubkeycol699 = [0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol700 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1] pubkeycol701 = [0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol702 = [0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol703 = [1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol704 = [1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0] pubkeycol705 = [2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol706 = [1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol707 = [2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol708 = [0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0] pubkeycol709 = [2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0] pubkeycol710 = [2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0] pubkeycol711 = [0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol712 = [2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol713 = [1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol714 = [2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol715 = [2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol716 = [0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0] pubkeycol717 = [0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2] pubkeycol718 = [2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol719 = [1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol720 = [2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol721 = [1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol722 = [0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0] pubkeycol723 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol724 = [2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0] pubkeycol725 = [0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol726 = [2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol727 = [1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol728 = [0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol729 = [2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol730 = [0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol731 = [2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol732 = [2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol733 = [1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1] pubkeycol734 = [1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol735 = [1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol736 = [2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0] pubkeycol737 = [0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol738 = [2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0] pubkeycol739 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol740 = [0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol741 = [1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0] pubkeycol742 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol743 = [0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1] pubkeycol744 = [0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2] pubkeycol745 = [1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0] pubkeycol746 = [2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1] pubkeycol747 = [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2] pubkeycol748 = [1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol749 = [2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0] pubkeycol750 = [1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol751 = [2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1] pubkeycol752 = [0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol753 = [1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol754 = [2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol755 = [2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol756 = [2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol757 = [1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2] pubkeycol758 = [2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol759 = [2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0] pubkeycol760 = [2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol761 = [1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol762 = [2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2] pubkeycol763 = [1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1] pubkeycol764 = [1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol765 = [1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol766 = [0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol767 = [1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol768 = [2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0] pubkeycol769 = [2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1] pubkeycol770 = [0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol771 = [1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2] pubkeycol772 = [2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0] pubkeycol773 = [0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1] pubkeycol774 = [1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol775 = [1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol776 = [2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol777 = [0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0] pubkeycol778 = [1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol779 = [1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol780 = [0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0] pubkeycol781 = [2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol782 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2] pubkeycol783 = [2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0] pubkeycol784 = [0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol785 = [2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol786 = [1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol787 = [0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol788 = [2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol789 = [2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0] pubkeycol790 = [1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol791 = [0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol792 = [0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol793 = [0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2] pubkeycol794 = [0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol795 = [1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1] pubkeycol796 = [2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1] pubkeycol797 = [0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0] pubkeycol798 = [0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0] pubkeycol799 = [2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol800 = [1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol801 = [0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1] pubkeycol802 = [2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol803 = [0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol804 = [1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol805 = [0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol806 = [1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol807 = [2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol808 = [0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol809 = [1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol810 = [2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol811 = [2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1] pubkeycol812 = [2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol813 = [0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0] pubkeycol814 = [0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol815 = [0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol816 = [1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1] pubkeycol817 = [2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2] pubkeycol818 = [1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0] pubkeycol819 = [0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2] pubkeycol820 = [1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol821 = [1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol822 = [1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol823 = [1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol824 = [2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0] pubkeycol825 = [0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol826 = [0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol827 = [2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2] pubkeycol828 = [0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol829 = [0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol830 = [1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol831 = [1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0] pubkeycol832 = [1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2] pubkeycol833 = [0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol834 = [2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0] pubkeycol835 = [2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol836 = [1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol837 = [0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol838 = [1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol839 = [2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol840 = [2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol841 = [1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol842 = [1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol843 = [1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2] pubkeycol844 = [1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0] pubkeycol845 = [0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol846 = [2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol847 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol848 = [0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol849 = [2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2] pubkeycol850 = [0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1] pubkeycol851 = [2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol852 = [0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1] pubkeycol853 = [2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1] pubkeycol854 = [1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol855 = [2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol856 = [2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1] pubkeycol857 = [1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0] pubkeycol858 = [1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol859 = [0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol860 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2] pubkeycol861 = [1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol862 = [1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol863 = [1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol864 = [1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol865 = [0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol866 = [2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2] pubkeycol867 = [1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol868 = [2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol869 = [1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol870 = [0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol871 = [1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1] pubkeycol872 = [0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol873 = [2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol874 = [2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol875 = [2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol876 = [1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol877 = [0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol878 = [2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0] pubkeycol879 = [2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0] pubkeycol880 = [1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol881 = [2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2] pubkeycol882 = [0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0] pubkeycol883 = [2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1] pubkeycol884 = [2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol885 = [2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol886 = [1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol887 = [1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol888 = [1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol889 = [1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol890 = [1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1] pubkeycol891 = [1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol892 = [1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol893 = [1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol894 = [2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol895 = [1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1] pubkeycol896 = [0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol897 = [0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1] pubkeycol898 = [0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol899 = [2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2] pubkeycol900 = [0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1] pubkeycol901 = [0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol902 = [1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2] pubkeycol903 = [0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol904 = [2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0] pubkeycol905 = [1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2] pubkeycol906 = [0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol907 = [2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol908 = [2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1] pubkeycol909 = [0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol910 = [1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2] pubkeycol911 = [2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol912 = [0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0] pubkeycol913 = [0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1] pubkeycol914 = [1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol915 = [0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol916 = [2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol917 = [2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0] pubkeycol918 = [2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1] pubkeycol919 = [1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol920 = [0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0] pubkeycol921 = [0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol922 = [1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol923 = [2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol924 = [1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol925 = [0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol926 = [0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol927 = [1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol928 = [2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2] pubkeycol929 = [2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol930 = [2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol931 = [1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0] pubkeycol932 = [2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0] pubkeycol933 = [1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol934 = [0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol935 = [1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1] pubkeycol936 = [2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol937 = [0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1] pubkeycol938 = [0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2] pubkeycol939 = [1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol940 = [1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2] pubkeycol941 = [0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol942 = [1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1] pubkeycol943 = [1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol944 = [0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol945 = [2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol946 = [2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol947 = [0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol948 = [1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol949 = [1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2] pubkeycol950 = [0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol951 = [1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0] pubkeycol952 = [2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol953 = [2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0] pubkeycol954 = [2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol955 = [0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2] pubkeycol956 = [1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1] pubkeycol957 = [0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0] pubkeycol958 = [2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0] pubkeycol959 = [1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol960 = [2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0] pubkeycol961 = [1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol962 = [2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2] pubkeycol963 = [0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol964 = [1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol965 = [2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2] pubkeycol966 = [0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol967 = [0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol968 = [0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1] pubkeycol969 = [2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0] pubkeycol970 = [2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol971 = [2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol972 = [0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2] pubkeycol973 = [1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol974 = [2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1] pubkeycol975 = [0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0] pubkeycol976 = [2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol977 = [0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol978 = [2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol979 = [1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2] pubkeycol980 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol981 = [1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0] pubkeycol982 = [0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1] pubkeycol983 = [0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol984 = [2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2] pubkeycol985 = [2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1] pubkeycol986 = [2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol987 = [0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol988 = [0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol989 = [2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0] pubkeycol990 = [0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol991 = [0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol992 = [1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2] pubkeycol993 = [1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol994 = [2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol995 = [1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2] pubkeycol996 = [0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol997 = [0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol998 = [2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol999 = [2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol1000 = [0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1] pubkeycol1001 = [2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol1002 = [2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1] pubkeycol1003 = [0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol1004 = [1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol1005 = [0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2] pubkeycol1006 = [0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0] pubkeycol1007 = [0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol1008 = [0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1] pubkeycol1009 = [2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2] pubkeycol1010 = [0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol1011 = [2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol1012 = [2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol1013 = [0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol1014 = [1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol1015 = [0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol1016 = [2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol1017 = [1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0] pubkeycol1018 = [1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2] pubkeycol1019 = [2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol1020 = [2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0] pubkeycol1021 = [2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol1022 = [2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol1023 = [1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2] pubkeycol1024 = [1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol1025 = [1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1] pubkeycol1026 = [0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol1027 = [1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol1028 = [2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol1029 = [0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol1030 = [2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol1031 = [1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol1032 = [0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol1033 = [1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2] pubkeycol1034 = [1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1] pubkeycol1035 = [2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1] pubkeycol1036 = [2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol1037 = [1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol1038 = [0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol1039 = [1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1] pubkeycol1040 = [2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol1041 = [0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol1042 = [0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0] pubkeycol1043 = [2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol1044 = [0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol1045 = [1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol1046 = [1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol1047 = [2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol1048 = [2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol1049 = [1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol1050 = [2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol1051 = [1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1] pubkeycol1052 = [2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol1053 = [1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol1054 = [1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2] pubkeycol1055 = [1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol1056 = [0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1] pubkeycol1057 = [0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1] pubkeycol1058 = [0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1] pubkeycol1059 = [1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1] pubkeycol1060 = [2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2] pubkeycol1061 = [1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol1062 = [1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0] pubkeycol1063 = [1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1] pubkeycol1064 = [2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0] pubkeycol1065 = [0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0] pubkeycol1066 = [1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol1067 = [0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol1068 = [2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1] pubkeycol1069 = [0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0] pubkeycol1070 = [2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol1071 = [2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol1072 = [0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2] pubkeycol1073 = [1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1] pubkeycol1074 = [2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2] pubkeycol1075 = [1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2] pubkeycol1076 = [1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol1077 = [2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2] pubkeycol1078 = [0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol1079 = [0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0] pubkeycol1080 = [2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1] pubkeycol1081 = [2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1] pubkeycol1082 = [2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol1083 = [2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1] pubkeycol1084 = [1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1] pubkeycol1085 = [0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol1086 = [2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0] pubkeycol1087 = [1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1] pubkeycol1088 = [2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1] pubkeycol1089 = [1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol1090 = [2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol1091 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1] pubkeycol1092 = [0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol1093 = [0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol1094 = [1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1] pubkeycol1095 = [1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol1096 = [2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol1097 = [1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1] pubkeycol1098 = [0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol1099 = [2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol1100 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2] pubkeycol1101 = [0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2] pubkeycol1102 = [2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol1103 = [2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0] pubkeycol1104 = [2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0] pubkeycol1105 = [1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol1106 = [0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol1107 = [1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0] pubkeycol1108 = [2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol1109 = [2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol1110 = [0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol1111 = [0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1] pubkeycol1112 = [0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1] pubkeycol1113 = [0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol1114 = [1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol1115 = [2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol1116 = [2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1] pubkeycol1117 = [0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol1118 = [0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol1119 = [0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1] pubkeycol1120 = [1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol1121 = [0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0] pubkeycol1122 = [1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol1123 = [2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2]