kilobytes = 51.9524085319391 q = 3 m = 7 n = 1239 s = 0 t = 20 u = 40 k = 959 w = 30 ciphertext = [2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0] recovered_plaintext_using_secret_key = True pubkeycol280 = [2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol281 = [2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol282 = [0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol283 = [1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol284 = [0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol285 = [1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol286 = [0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol287 = [1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol288 = [2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol289 = [0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol290 = [1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol291 = [2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0] pubkeycol292 = [0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0] pubkeycol293 = [0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1] pubkeycol294 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol295 = [0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol296 = [2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol297 = [1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol298 = [2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol299 = [0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol300 = [1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1] pubkeycol301 = [2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol302 = [0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol303 = [1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol304 = [2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol305 = [2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol306 = [2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol307 = [1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol308 = [2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol309 = [1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol310 = [2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2] pubkeycol311 = [1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol312 = [0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol313 = [1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1] pubkeycol314 = [0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol315 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0] pubkeycol316 = [2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2] pubkeycol317 = [2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol318 = [2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol319 = [0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol320 = [2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol321 = [1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol322 = [2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol323 = [2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2] pubkeycol324 = [0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol325 = [0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol326 = [1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1] pubkeycol327 = [1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol328 = [2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol329 = [0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol330 = [1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol331 = [0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0] pubkeycol332 = [1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol333 = [0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1] pubkeycol334 = [0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol335 = [2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol336 = [2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol337 = [0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0] pubkeycol338 = [0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol339 = [0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol340 = [0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1] pubkeycol341 = [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol342 = [0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol343 = [1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol344 = [0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol345 = [1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2] pubkeycol346 = [2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2] pubkeycol347 = [1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol348 = [2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0] pubkeycol349 = [2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1] pubkeycol350 = [1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol351 = [0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol352 = [2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol353 = [0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol354 = [1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1] pubkeycol355 = [0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0] pubkeycol356 = [2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0] pubkeycol357 = [2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol358 = [2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol359 = [2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol360 = [1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol361 = [0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2] pubkeycol362 = [1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0] pubkeycol363 = [0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol364 = [2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1] pubkeycol365 = [0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1] pubkeycol366 = [2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2] pubkeycol367 = [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0] pubkeycol368 = [2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol369 = [1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0] pubkeycol370 = [2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol371 = [0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol372 = [1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol373 = [0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol374 = [0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol375 = [2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol376 = [1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2] pubkeycol377 = [1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol378 = [2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol379 = [1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol380 = [2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0] pubkeycol381 = [0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol382 = [2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol383 = [0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol384 = [2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol385 = [2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol386 = [2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1] pubkeycol387 = [2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2] pubkeycol388 = [2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol389 = [1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1] pubkeycol390 = [1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol391 = [2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol392 = [1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol393 = [2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1] pubkeycol394 = [2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1] pubkeycol395 = [0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol396 = [0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol397 = [2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol398 = [1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol399 = [0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol400 = [2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol401 = [1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol402 = [1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol403 = [1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol404 = [0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol405 = [1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol406 = [0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol407 = [1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol408 = [1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol409 = [2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol410 = [1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol411 = [2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol412 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1] pubkeycol413 = [1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol414 = [1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol415 = [1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol416 = [1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1] pubkeycol417 = [2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1] pubkeycol418 = [1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol419 = [1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol420 = [0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol421 = [1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol422 = [1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1] pubkeycol423 = [0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol424 = [1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol425 = [0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol426 = [2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2] pubkeycol427 = [2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol428 = [0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol429 = [2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol430 = [1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol431 = [2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0] pubkeycol432 = [1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0] pubkeycol433 = [1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0] pubkeycol434 = [0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol435 = [0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol436 = [1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol437 = [1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol438 = [0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol439 = [0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol440 = [0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2] pubkeycol441 = [0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol442 = [0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0] pubkeycol443 = [0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol444 = [2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol445 = [2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol446 = [0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1] pubkeycol447 = [1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol448 = [1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0] pubkeycol449 = [1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0] pubkeycol450 = [0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2] pubkeycol451 = [0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2] pubkeycol452 = [0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol453 = [1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2] pubkeycol454 = [2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol455 = [1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol456 = [0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol457 = [1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol458 = [0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol459 = [2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2] pubkeycol460 = [1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol461 = [1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol462 = [0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol463 = [2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0] pubkeycol464 = [2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol465 = [2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol466 = [2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0] pubkeycol467 = [0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol468 = [2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2] pubkeycol469 = [1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol470 = [1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol471 = [1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol472 = [0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol473 = [1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0] pubkeycol474 = [0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2] pubkeycol475 = [0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1] pubkeycol476 = [2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol477 = [0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol478 = [2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol479 = [1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol480 = [1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol481 = [2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol482 = [2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol483 = [0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol484 = [0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol485 = [0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0] pubkeycol486 = [2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol487 = [2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol488 = [1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0] pubkeycol489 = [2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2] pubkeycol490 = [0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol491 = [1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol492 = [1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol493 = [0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol494 = [0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol495 = [2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2] pubkeycol496 = [2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1] pubkeycol497 = [1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0] pubkeycol498 = [0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol499 = [1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol500 = [0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol501 = [1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol502 = [1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol503 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol504 = [2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1] pubkeycol505 = [1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol506 = [0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol507 = [2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0] pubkeycol508 = [0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0] pubkeycol509 = [1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2] pubkeycol510 = [0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol511 = [2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol512 = [0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol513 = [1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol514 = [2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1] pubkeycol515 = [1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2] pubkeycol516 = [0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol517 = [1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol518 = [0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol519 = [0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0] pubkeycol520 = [2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol521 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol522 = [1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol523 = [2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1] pubkeycol524 = [1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol525 = [2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol526 = [2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2] pubkeycol527 = [1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol528 = [2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol529 = [0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2] pubkeycol530 = [2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol531 = [1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol532 = [0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol533 = [0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol534 = [1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol535 = [1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol536 = [1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2] pubkeycol537 = [1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2] pubkeycol538 = [0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1] pubkeycol539 = [1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol540 = [2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1] pubkeycol541 = [1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol542 = [1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol543 = [0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol544 = [1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol545 = [0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol546 = [1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1] pubkeycol547 = [2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol548 = [0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol549 = [1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2] pubkeycol550 = [1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0] pubkeycol551 = [0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol552 = [0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0] pubkeycol553 = [1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1] pubkeycol554 = [2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0] pubkeycol555 = [1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol556 = [1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol557 = [2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol558 = [1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0] pubkeycol559 = [1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1] pubkeycol560 = [0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol561 = [2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2] pubkeycol562 = [2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol563 = [2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol564 = [2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol565 = [1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol566 = [0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol567 = [0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol568 = [2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol569 = [2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol570 = [0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol571 = [2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol572 = [2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol573 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol574 = [0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol575 = [0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol576 = [2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2] pubkeycol577 = [1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol578 = [1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0] pubkeycol579 = [0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0] pubkeycol580 = [0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol581 = [1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol582 = [1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol583 = [2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0] pubkeycol584 = [0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1] pubkeycol585 = [0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0] pubkeycol586 = [0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0] pubkeycol587 = [0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol588 = [1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol589 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol590 = [0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1] pubkeycol591 = [2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2] pubkeycol592 = [2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol593 = [2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2] pubkeycol594 = [2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1] pubkeycol595 = [0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol596 = [2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol597 = [2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol598 = [0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol599 = [2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0] pubkeycol600 = [1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0] pubkeycol601 = [1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1] pubkeycol602 = [2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol603 = [1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol604 = [0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0] pubkeycol605 = [2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2] pubkeycol606 = [1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol607 = [0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1] pubkeycol608 = [2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol609 = [1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2] pubkeycol610 = [0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol611 = [2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol612 = [1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol613 = [1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0] pubkeycol614 = [1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2] pubkeycol615 = [0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol616 = [1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1] pubkeycol617 = [0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0] pubkeycol618 = [2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol619 = [1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0] pubkeycol620 = [0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2] pubkeycol621 = [0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol622 = [2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1] pubkeycol623 = [2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol624 = [2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0] pubkeycol625 = [1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol626 = [1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol627 = [0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol628 = [1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1] pubkeycol629 = [1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol630 = [2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol631 = [2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol632 = [1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol633 = [2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol634 = [1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2] pubkeycol635 = [2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol636 = [2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol637 = [1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol638 = [0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol639 = [1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol640 = [2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol641 = [1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol642 = [0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1] pubkeycol643 = [1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol644 = [1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0] pubkeycol645 = [0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol646 = [0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2] pubkeycol647 = [2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol648 = [2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol649 = [1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol650 = [0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0] pubkeycol651 = [2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol652 = [1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0] pubkeycol653 = [1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol654 = [2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol655 = [1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol656 = [0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol657 = [2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol658 = [0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol659 = [2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1] pubkeycol660 = [0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1] pubkeycol661 = [0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0] pubkeycol662 = [2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol663 = [2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0] pubkeycol664 = [0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol665 = [2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol666 = [0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1] pubkeycol667 = [1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol668 = [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol669 = [0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol670 = [2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2] pubkeycol671 = [2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol672 = [2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0] pubkeycol673 = [1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol674 = [2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1] pubkeycol675 = [0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol676 = [2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol677 = [2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol678 = [2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0] pubkeycol679 = [0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol680 = [2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol681 = [1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol682 = [0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol683 = [2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1] pubkeycol684 = [1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol685 = [1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1] pubkeycol686 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol687 = [2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol688 = [2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2] pubkeycol689 = [2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol690 = [1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0] pubkeycol691 = [1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1] pubkeycol692 = [2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol693 = [0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol694 = [2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol695 = [0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0] pubkeycol696 = [0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol697 = [1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol698 = [1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol699 = [1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol700 = [2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol701 = [1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol702 = [0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol703 = [2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol704 = [2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol705 = [2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2] pubkeycol706 = [2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1] pubkeycol707 = [1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol708 = [2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0] pubkeycol709 = [0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol710 = [2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol711 = [0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol712 = [2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol713 = [1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol714 = [0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1] pubkeycol715 = [1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0] pubkeycol716 = [2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0] pubkeycol717 = [1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol718 = [2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2] pubkeycol719 = [1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol720 = [1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2] pubkeycol721 = [1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol722 = [0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol723 = [1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2] pubkeycol724 = [1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol725 = [1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1] pubkeycol726 = [1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol727 = [0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol728 = [0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol729 = [1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol730 = [1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2] pubkeycol731 = [2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol732 = [2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1] pubkeycol733 = [0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol734 = [0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0] pubkeycol735 = [0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol736 = [2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol737 = [0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol738 = [1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol739 = [2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol740 = [1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol741 = [2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2] pubkeycol742 = [1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol743 = [0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol744 = [1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1] pubkeycol745 = [0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol746 = [2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol747 = [2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol748 = [1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol749 = [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0] pubkeycol750 = [0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol751 = [2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0] pubkeycol752 = [1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol753 = [2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0] pubkeycol754 = [0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol755 = [1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0] pubkeycol756 = [0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0] pubkeycol757 = [1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol758 = [0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol759 = [2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1] pubkeycol760 = [0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol761 = [1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol762 = [2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2] pubkeycol763 = [0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol764 = [2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0] pubkeycol765 = [2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol766 = [2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2] pubkeycol767 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol768 = [0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1] pubkeycol769 = [1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol770 = [1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol771 = [1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol772 = [0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0] pubkeycol773 = [1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0] pubkeycol774 = [2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol775 = [1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol776 = [2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol777 = [1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2] pubkeycol778 = [1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol779 = [0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0] pubkeycol780 = [0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2] pubkeycol781 = [1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol782 = [0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol783 = [0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol784 = [2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1] pubkeycol785 = [2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol786 = [2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2] pubkeycol787 = [0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0] pubkeycol788 = [2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0] pubkeycol789 = [1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol790 = [1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol791 = [2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2] pubkeycol792 = [1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1] pubkeycol793 = [2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0] pubkeycol794 = [1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol795 = [1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol796 = [2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol797 = [0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol798 = [2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol799 = [1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0] pubkeycol800 = [1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0] pubkeycol801 = [2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol802 = [0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol803 = [0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol804 = [1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol805 = [0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol806 = [1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol807 = [1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1] pubkeycol808 = [1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol809 = [0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol810 = [2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol811 = [1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol812 = [1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol813 = [0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2] pubkeycol814 = [2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol815 = [2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol816 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol817 = [2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1] pubkeycol818 = [2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0] pubkeycol819 = [0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol820 = [0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol821 = [2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol822 = [1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol823 = [2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol824 = [1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol825 = [0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol826 = [0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol827 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0] pubkeycol828 = [2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol829 = [2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol830 = [2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol831 = [2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2] pubkeycol832 = [1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2] pubkeycol833 = [2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2] pubkeycol834 = [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1] pubkeycol835 = [1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1] pubkeycol836 = [0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2] pubkeycol837 = [1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0] pubkeycol838 = [2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2] pubkeycol839 = [2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol840 = [0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0] pubkeycol841 = [0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol842 = [2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol843 = [1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2] pubkeycol844 = [0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol845 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol846 = [1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0] pubkeycol847 = [2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0] pubkeycol848 = [1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol849 = [0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol850 = [1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol851 = [0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol852 = [0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol853 = [0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2] pubkeycol854 = [2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol855 = [2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2] pubkeycol856 = [0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol857 = [1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol858 = [1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol859 = [0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0] pubkeycol860 = [1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol861 = [2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol862 = [1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1] pubkeycol863 = [1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol864 = [1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol865 = [2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol866 = [0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol867 = [2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol868 = [1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0] pubkeycol869 = [1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol870 = [1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol871 = [1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol872 = [1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol873 = [2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol874 = [0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2] pubkeycol875 = [0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol876 = [1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol877 = [0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0] pubkeycol878 = [2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol879 = [0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol880 = [1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol881 = [0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol882 = [2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol883 = [2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol884 = [0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1] pubkeycol885 = [2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol886 = [0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol887 = [2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2] pubkeycol888 = [2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol889 = [0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2] pubkeycol890 = [2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol891 = [0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1] pubkeycol892 = [0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol893 = [1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol894 = [1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2] pubkeycol895 = [1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol896 = [0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1] pubkeycol897 = [1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol898 = [0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol899 = [0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol900 = [2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol901 = [1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol902 = [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol903 = [2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol904 = [2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2] pubkeycol905 = [1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol906 = [1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol907 = [2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol908 = [2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol909 = [2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol910 = [1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1] pubkeycol911 = [2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol912 = [2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1] pubkeycol913 = [0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol914 = [1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol915 = [2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol916 = [2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol917 = [2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol918 = [2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol919 = [1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol920 = [1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol921 = [2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol922 = [1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol923 = [0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol924 = [0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1] pubkeycol925 = [0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1] pubkeycol926 = [0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol927 = [1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1] pubkeycol928 = [2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol929 = [2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol930 = [2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2] pubkeycol931 = [1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol932 = [1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol933 = [0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol934 = [0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0] pubkeycol935 = [0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol936 = [2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol937 = [0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol938 = [1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol939 = [0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol940 = [1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol941 = [2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1] pubkeycol942 = [1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol943 = [2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol944 = [1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol945 = [1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol946 = [2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2] pubkeycol947 = [2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2] pubkeycol948 = [0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol949 = [1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol950 = [2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol951 = [2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol952 = [0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2] pubkeycol953 = [1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol954 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0] pubkeycol955 = [2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0] pubkeycol956 = [2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol957 = [1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol958 = [0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol959 = [0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol960 = [0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol961 = [2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol962 = [0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol963 = [0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0] pubkeycol964 = [0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol965 = [0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0] pubkeycol966 = [2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2] pubkeycol967 = [1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0] pubkeycol968 = [2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol969 = [1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol970 = [2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2] pubkeycol971 = [2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0] pubkeycol972 = [0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol973 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0] pubkeycol974 = [2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2] pubkeycol975 = [1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1] pubkeycol976 = [1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1] pubkeycol977 = [1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol978 = [0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1] pubkeycol979 = [0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol980 = [0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol981 = [2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1] pubkeycol982 = [2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1] pubkeycol983 = [0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol984 = [2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0] pubkeycol985 = [1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol986 = [0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol987 = [1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1] pubkeycol988 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2] pubkeycol989 = [1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol990 = [1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2] pubkeycol991 = [1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2] pubkeycol992 = [0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol993 = [1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0] pubkeycol994 = [0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1] pubkeycol995 = [1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2] pubkeycol996 = [0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0] pubkeycol997 = [2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol998 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol999 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1] pubkeycol1000 = [2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol1001 = [0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol1002 = [1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol1003 = [0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0] pubkeycol1004 = [2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2] pubkeycol1005 = [0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol1006 = [2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol1007 = [2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0] pubkeycol1008 = [1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0] pubkeycol1009 = [1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol1010 = [1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0] pubkeycol1011 = [0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol1012 = [1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2] pubkeycol1013 = [1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1] pubkeycol1014 = [2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol1015 = [1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol1016 = [2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol1017 = [2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol1018 = [2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1] pubkeycol1019 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol1020 = [1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0] pubkeycol1021 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol1022 = [1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol1023 = [0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0] pubkeycol1024 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1] pubkeycol1025 = [1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol1026 = [2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0] pubkeycol1027 = [0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0] pubkeycol1028 = [1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1] pubkeycol1029 = [1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol1030 = [1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0] pubkeycol1031 = [1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0] pubkeycol1032 = [1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0] pubkeycol1033 = [2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0] pubkeycol1034 = [0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol1035 = [1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol1036 = [0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0] pubkeycol1037 = [1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0] pubkeycol1038 = [2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol1039 = [0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol1040 = [0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol1041 = [2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol1042 = [1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1043 = [0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0] pubkeycol1044 = [2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0] pubkeycol1045 = [0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol1046 = [0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol1047 = [1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0] pubkeycol1048 = [2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2] pubkeycol1049 = [2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0] pubkeycol1050 = [1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1] pubkeycol1051 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol1052 = [0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0] pubkeycol1053 = [1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1] pubkeycol1054 = [2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol1055 = [1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol1056 = [0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol1057 = [0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol1058 = [2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0] pubkeycol1059 = [0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1] pubkeycol1060 = [0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol1061 = [1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol1062 = [1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1] pubkeycol1063 = [2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol1064 = [2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol1065 = [0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol1066 = [2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0] pubkeycol1067 = [1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol1068 = [0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2] pubkeycol1069 = [2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol1070 = [1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2] pubkeycol1071 = [0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2] pubkeycol1072 = [1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1] pubkeycol1073 = [1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol1074 = [1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1075 = [2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol1076 = [0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0] pubkeycol1077 = [2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0] pubkeycol1078 = [2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol1079 = [0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol1080 = [2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2] pubkeycol1081 = [0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1] pubkeycol1082 = [1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol1083 = [1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1] pubkeycol1084 = [0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol1085 = [0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0] pubkeycol1086 = [1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1] pubkeycol1087 = [1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol1088 = [2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol1089 = [0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol1090 = [1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol1091 = [1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol1092 = [0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol1093 = [1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol1094 = [0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol1095 = [0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2] pubkeycol1096 = [2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0] pubkeycol1097 = [0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol1098 = [1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol1099 = [1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol1100 = [1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol1101 = [2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0] pubkeycol1102 = [0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1] pubkeycol1103 = [1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol1104 = [2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol1105 = [1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol1106 = [0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol1107 = [0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol1108 = [0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1109 = [1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol1110 = [0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol1111 = [1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol1112 = [1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol1113 = [0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0] pubkeycol1114 = [1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0] pubkeycol1115 = [2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol1116 = [2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2] pubkeycol1117 = [1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1] pubkeycol1118 = [2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol1119 = [1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol1120 = [1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol1121 = [1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol1122 = [2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol1123 = [1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2] pubkeycol1124 = [2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol1125 = [0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol1126 = [0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol1127 = [0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0] pubkeycol1128 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1129 = [1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol1130 = [2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol1131 = [0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0] pubkeycol1132 = [0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol1133 = [0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol1134 = [2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol1135 = [0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol1136 = [2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol1137 = [2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2] pubkeycol1138 = [0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0] pubkeycol1139 = [0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2] pubkeycol1140 = [2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol1141 = [2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol1142 = [0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol1143 = [2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol1144 = [1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0] pubkeycol1145 = [1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol1146 = [1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol1147 = [0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2] pubkeycol1148 = [0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol1149 = [2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol1150 = [1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol1151 = [0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol1152 = [1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1] pubkeycol1153 = [0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol1154 = [0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1] pubkeycol1155 = [1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol1156 = [2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol1157 = [0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol1158 = [2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol1159 = [1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol1160 = [0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol1161 = [1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2] pubkeycol1162 = [0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0] pubkeycol1163 = [1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol1164 = [0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol1165 = [1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol1166 = [1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0] pubkeycol1167 = [2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol1168 = [2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1] pubkeycol1169 = [1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0] pubkeycol1170 = [2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2] pubkeycol1171 = [2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol1172 = [1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol1173 = [0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1] pubkeycol1174 = [1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2] pubkeycol1175 = [0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol1176 = [0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol1177 = [2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol1178 = [2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol1179 = [0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol1180 = [0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0] pubkeycol1181 = [2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2] pubkeycol1182 = [1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol1183 = [0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol1184 = [2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0] pubkeycol1185 = [2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol1186 = [0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2] pubkeycol1187 = [0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol1188 = [0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2] pubkeycol1189 = [2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol1190 = [0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol1191 = [1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1] pubkeycol1192 = [2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol1193 = [1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0] pubkeycol1194 = [0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0] pubkeycol1195 = [2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol1196 = [0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0] pubkeycol1197 = [2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1] pubkeycol1198 = [2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2] pubkeycol1199 = [1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2] pubkeycol1200 = [0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol1201 = [2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1] pubkeycol1202 = [1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol1203 = [1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1] pubkeycol1204 = [0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2] pubkeycol1205 = [0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1] pubkeycol1206 = [0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1] pubkeycol1207 = [1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol1208 = [2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol1209 = [0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] pubkeycol1210 = [2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol1211 = [1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol1212 = [1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol1213 = [2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol1214 = [1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol1215 = [1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol1216 = [1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2] pubkeycol1217 = [0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2] pubkeycol1218 = [2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol1219 = [2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol1220 = [1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1] pubkeycol1221 = [2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0] pubkeycol1222 = [0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1] pubkeycol1223 = [0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol1224 = [0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol1225 = [1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol1226 = [0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol1227 = [1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol1228 = [1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0] pubkeycol1229 = [0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol1230 = [1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol1231 = [1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol1232 = [2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol1233 = [0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol1234 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0] pubkeycol1235 = [0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2] pubkeycol1236 = [2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol1237 = [2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol1238 = [2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2]