kilobytes = 49.9479881819060 q = 3 m = 7 n = 1202 s = 0 t = 20 u = 40 k = 922 w = 30 ciphertext = [0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2] recovered_plaintext_using_secret_key = True pubkeycol280 = [1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol281 = [1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0] pubkeycol282 = [2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0] pubkeycol283 = [2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol284 = [1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol285 = [1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1] pubkeycol286 = [0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol287 = [1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1] pubkeycol288 = [2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0] pubkeycol289 = [0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2] pubkeycol290 = [2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol291 = [2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1] pubkeycol292 = [0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0] pubkeycol293 = [1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol294 = [1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol295 = [1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol296 = [1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2] pubkeycol297 = [1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0] pubkeycol298 = [2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol299 = [1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1] pubkeycol300 = [2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0] pubkeycol301 = [0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1] pubkeycol302 = [1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2] pubkeycol303 = [0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol304 = [2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0] pubkeycol305 = [1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol306 = [1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1] pubkeycol307 = [0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol308 = [1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol309 = [2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1] pubkeycol310 = [1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol311 = [1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol312 = [0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2] pubkeycol313 = [1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol314 = [0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol315 = [0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol316 = [1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol317 = [0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2] pubkeycol318 = [0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol319 = [0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1] pubkeycol320 = [2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0] pubkeycol321 = [0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol322 = [1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1] pubkeycol323 = [0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol324 = [2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2] pubkeycol325 = [0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol326 = [2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol327 = [2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol328 = [0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1] pubkeycol329 = [2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol330 = [0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol331 = [0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol332 = [2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2] pubkeycol333 = [0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol334 = [2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2] pubkeycol335 = [2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2] pubkeycol336 = [1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1] pubkeycol337 = [1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol338 = [2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol339 = [1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol340 = [2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1] pubkeycol341 = [1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2] pubkeycol342 = [2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol343 = [2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol344 = [2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol345 = [2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol346 = [1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol347 = [0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1] pubkeycol348 = [0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol349 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol350 = [0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1] pubkeycol351 = [2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol352 = [0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol353 = [1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1] pubkeycol354 = [2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol355 = [1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2] pubkeycol356 = [2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2] pubkeycol357 = [2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol358 = [2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1] pubkeycol359 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol360 = [2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol361 = [0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol362 = [2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0] pubkeycol363 = [1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1] pubkeycol364 = [1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol365 = [1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0] pubkeycol366 = [1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol367 = [1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol368 = [2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol369 = [2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol370 = [0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol371 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol372 = [1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1] pubkeycol373 = [0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0] pubkeycol374 = [2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol375 = [2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol376 = [0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2] pubkeycol377 = [0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1] pubkeycol378 = [1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0] pubkeycol379 = [0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2] pubkeycol380 = [0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0] pubkeycol381 = [1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol382 = [2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1] pubkeycol383 = [1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol384 = [0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1] pubkeycol385 = [1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol386 = [1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol387 = [0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol388 = [1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0] pubkeycol389 = [2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol390 = [1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol391 = [1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol392 = [2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol393 = [0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0] pubkeycol394 = [2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol395 = [0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0] pubkeycol396 = [1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol397 = [0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol398 = [0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol399 = [2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol400 = [0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol401 = [2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol402 = [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol403 = [1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol404 = [2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol405 = [1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol406 = [1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol407 = [1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol408 = [0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0] pubkeycol409 = [2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol410 = [1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol411 = [1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol412 = [0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0] pubkeycol413 = [2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol414 = [2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol415 = [1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0] pubkeycol416 = [2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0] pubkeycol417 = [1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1] pubkeycol418 = [0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0] pubkeycol419 = [0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol420 = [0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol421 = [0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1] pubkeycol422 = [1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0] pubkeycol423 = [0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol424 = [0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol425 = [2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol426 = [1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1] pubkeycol427 = [1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1] pubkeycol428 = [1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2] pubkeycol429 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol430 = [2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2] pubkeycol431 = [1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1] pubkeycol432 = [0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol433 = [1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol434 = [1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1] pubkeycol435 = [1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0] pubkeycol436 = [2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol437 = [0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol438 = [1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol439 = [0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2] pubkeycol440 = [0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2] pubkeycol441 = [2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol442 = [1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol443 = [0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol444 = [0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol445 = [0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol446 = [1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2] pubkeycol447 = [0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0] pubkeycol448 = [2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1] pubkeycol449 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2] pubkeycol450 = [1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0] pubkeycol451 = [2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol452 = [0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0] pubkeycol453 = [2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1] pubkeycol454 = [2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol455 = [0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol456 = [1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol457 = [0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol458 = [2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol459 = [1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol460 = [0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1] pubkeycol461 = [2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2] pubkeycol462 = [1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1] pubkeycol463 = [2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol464 = [0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol465 = [2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol466 = [0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol467 = [1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol468 = [1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol469 = [1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2] pubkeycol470 = [0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol471 = [2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol472 = [2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol473 = [2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol474 = [1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol475 = [2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol476 = [0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1] pubkeycol477 = [0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol478 = [2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0] pubkeycol479 = [2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1] pubkeycol480 = [0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0] pubkeycol481 = [1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol482 = [2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol483 = [0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2] pubkeycol484 = [1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol485 = [0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol486 = [1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol487 = [1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol488 = [1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol489 = [2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol490 = [1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2] pubkeycol491 = [1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol492 = [0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1] pubkeycol493 = [0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol494 = [2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol495 = [2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1] pubkeycol496 = [0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1] pubkeycol497 = [0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2] pubkeycol498 = [0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1] pubkeycol499 = [1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0] pubkeycol500 = [2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0] pubkeycol501 = [2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol502 = [1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0] pubkeycol503 = [0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol504 = [2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1] pubkeycol505 = [2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol506 = [0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol507 = [0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol508 = [1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol509 = [1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0] pubkeycol510 = [2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1] pubkeycol511 = [2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1] pubkeycol512 = [0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol513 = [0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0] pubkeycol514 = [0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol515 = [0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol516 = [2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2] pubkeycol517 = [1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol518 = [2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0] pubkeycol519 = [2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol520 = [0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0] pubkeycol521 = [2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0] pubkeycol522 = [0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol523 = [2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0] pubkeycol524 = [1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2] pubkeycol525 = [1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1] pubkeycol526 = [0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol527 = [1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol528 = [1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol529 = [0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol530 = [1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2] pubkeycol531 = [0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol532 = [1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol533 = [1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1] pubkeycol534 = [0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol535 = [0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol536 = [0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0] pubkeycol537 = [0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol538 = [1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2] pubkeycol539 = [0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1] pubkeycol540 = [1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol541 = [1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol542 = [1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol543 = [1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2] pubkeycol544 = [0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0] pubkeycol545 = [0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol546 = [0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol547 = [1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol548 = [1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1] pubkeycol549 = [0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0] pubkeycol550 = [0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol551 = [2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1] pubkeycol552 = [1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol553 = [1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1] pubkeycol554 = [1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1] pubkeycol555 = [0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol556 = [1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0] pubkeycol557 = [0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol558 = [0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol559 = [0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol560 = [1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2] pubkeycol561 = [2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1] pubkeycol562 = [2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol563 = [1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol564 = [0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol565 = [1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol566 = [1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1] pubkeycol567 = [2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2] pubkeycol568 = [2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2] pubkeycol569 = [0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2] pubkeycol570 = [2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1] pubkeycol571 = [0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0] pubkeycol572 = [1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0] pubkeycol573 = [1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol574 = [0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1] pubkeycol575 = [1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol576 = [1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol577 = [1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol578 = [0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol579 = [2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol580 = [2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol581 = [1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1] pubkeycol582 = [2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol583 = [1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2] pubkeycol584 = [0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol585 = [0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2] pubkeycol586 = [2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2] pubkeycol587 = [0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol588 = [1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol589 = [0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol590 = [0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol591 = [0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2] pubkeycol592 = [1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol593 = [1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol594 = [1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol595 = [0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol596 = [2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol597 = [1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol598 = [2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol599 = [2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol600 = [2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol601 = [1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol602 = [2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0] pubkeycol603 = [0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0] pubkeycol604 = [1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol605 = [1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol606 = [0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol607 = [2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol608 = [1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol609 = [2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol610 = [0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0] pubkeycol611 = [1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol612 = [0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1] pubkeycol613 = [1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol614 = [0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol615 = [1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol616 = [2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol617 = [2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2] pubkeycol618 = [2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2] pubkeycol619 = [0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol620 = [1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol621 = [2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol622 = [0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol623 = [2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2] pubkeycol624 = [1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1] pubkeycol625 = [0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0] pubkeycol626 = [0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1] pubkeycol627 = [2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2] pubkeycol628 = [1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol629 = [2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol630 = [1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol631 = [0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol632 = [1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol633 = [1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol634 = [2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol635 = [2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol636 = [1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2] pubkeycol637 = [2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol638 = [0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol639 = [2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol640 = [1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1] pubkeycol641 = [1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2] pubkeycol642 = [1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol643 = [0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2] pubkeycol644 = [1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2] pubkeycol645 = [1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol646 = [2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1] pubkeycol647 = [0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2] pubkeycol648 = [2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2] pubkeycol649 = [2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol650 = [2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol651 = [2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0] pubkeycol652 = [2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol653 = [1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol654 = [0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol655 = [1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0] pubkeycol656 = [0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0] pubkeycol657 = [0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol658 = [2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol659 = [1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1] pubkeycol660 = [2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol661 = [2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol662 = [1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol663 = [0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol664 = [0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol665 = [0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol666 = [1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol667 = [1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol668 = [0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0] pubkeycol669 = [0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2] pubkeycol670 = [2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2] pubkeycol671 = [2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol672 = [2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol673 = [2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol674 = [0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol675 = [1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0] pubkeycol676 = [0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol677 = [2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol678 = [0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol679 = [0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0] pubkeycol680 = [2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol681 = [1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0] pubkeycol682 = [2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol683 = [2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0] pubkeycol684 = [2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol685 = [2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol686 = [1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2] pubkeycol687 = [2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol688 = [1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0] pubkeycol689 = [2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol690 = [2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol691 = [1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2] pubkeycol692 = [2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2] pubkeycol693 = [0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol694 = [0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol695 = [2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol696 = [2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol697 = [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol698 = [0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol699 = [1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0] pubkeycol700 = [0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2] pubkeycol701 = [1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol702 = [2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1] pubkeycol703 = [1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol704 = [2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0] pubkeycol705 = [1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2] pubkeycol706 = [0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2] pubkeycol707 = [2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol708 = [2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0] pubkeycol709 = [0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol710 = [1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol711 = [2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0] pubkeycol712 = [1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol713 = [2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol714 = [1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol715 = [0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1] pubkeycol716 = [0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0] pubkeycol717 = [1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1] pubkeycol718 = [2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0] pubkeycol719 = [0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol720 = [2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol721 = [2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol722 = [0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1] pubkeycol723 = [0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol724 = [2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol725 = [1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol726 = [1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol727 = [0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0] pubkeycol728 = [2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1] pubkeycol729 = [2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2] pubkeycol730 = [1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol731 = [2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol732 = [2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1] pubkeycol733 = [0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol734 = [1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0] pubkeycol735 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol736 = [1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol737 = [1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol738 = [1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0] pubkeycol739 = [1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0] pubkeycol740 = [1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol741 = [0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol742 = [2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1] pubkeycol743 = [0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2] pubkeycol744 = [1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol745 = [2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2] pubkeycol746 = [1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0] pubkeycol747 = [0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol748 = [2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol749 = [1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0] pubkeycol750 = [1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol751 = [2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0] pubkeycol752 = [1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol753 = [2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol754 = [0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2] pubkeycol755 = [0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol756 = [1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol757 = [0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol758 = [0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol759 = [2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol760 = [0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1] pubkeycol761 = [0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol762 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2] pubkeycol763 = [0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2] pubkeycol764 = [0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2] pubkeycol765 = [0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0] pubkeycol766 = [0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2] pubkeycol767 = [1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol768 = [1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol769 = [2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol770 = [0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol771 = [1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol772 = [0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol773 = [1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol774 = [0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2] pubkeycol775 = [2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol776 = [1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol777 = [2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 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, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1] pubkeycol778 = [1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol779 = [2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol780 = [2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol781 = [2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2] pubkeycol782 = [0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol783 = [0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1] pubkeycol784 = [0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol785 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol786 = [2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol787 = [2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol788 = [0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol789 = [1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol790 = [2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1] pubkeycol791 = [0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1] pubkeycol792 = [0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol793 = [0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol794 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1] pubkeycol795 = [2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol796 = [1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2] pubkeycol797 = [2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol798 = [0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol799 = [0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol800 = [0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol801 = [1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol802 = [1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol803 = [0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol804 = [2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2] pubkeycol805 = [2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol806 = [1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol807 = [0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol808 = [1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol809 = [1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol810 = [1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1] pubkeycol811 = [2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2] pubkeycol812 = [2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol813 = [1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0] pubkeycol814 = [1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol815 = [0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0] pubkeycol816 = [0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol817 = [1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0] pubkeycol818 = [2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol819 = [1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol820 = [0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol821 = [2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1] pubkeycol822 = [2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol823 = [0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol824 = [2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1] pubkeycol825 = [1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol826 = [0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol827 = [2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol828 = [0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2] pubkeycol829 = [1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol830 = [1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0] pubkeycol831 = [0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol832 = [1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol833 = [2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol834 = [0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1] pubkeycol835 = [1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol836 = [1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol837 = [1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1] pubkeycol838 = [2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol839 = [1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1] pubkeycol840 = [0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol841 = [0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol842 = [2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol843 = [2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol844 = [1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1] pubkeycol845 = [1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol846 = [2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol847 = [2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol848 = [1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol849 = [0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol850 = [0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol851 = [0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol852 = [1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol853 = [1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0] pubkeycol854 = [0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2] pubkeycol855 = [0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol856 = [2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol857 = [2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2] pubkeycol858 = [1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2] pubkeycol859 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol860 = [2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1] pubkeycol861 = [1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1] pubkeycol862 = [0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2] pubkeycol863 = [1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0] pubkeycol864 = [0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol865 = [1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol866 = [0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2] pubkeycol867 = [0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol868 = [2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol869 = [2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2] pubkeycol870 = [0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol871 = [1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2] pubkeycol872 = [1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol873 = [0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2] pubkeycol874 = [0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol875 = [1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol876 = [2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol877 = [2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol878 = [1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol879 = [2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1] pubkeycol880 = [2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol881 = [1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2] pubkeycol882 = [0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol883 = [2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1] pubkeycol884 = [1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol885 = [0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol886 = [1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol887 = [2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1] pubkeycol888 = [1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol889 = [1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol890 = [2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1] pubkeycol891 = [1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol892 = [2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol893 = [1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2] pubkeycol894 = [1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol895 = [2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol896 = [0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2] pubkeycol897 = [1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol898 = [1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol899 = [1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol900 = [0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2] pubkeycol901 = [1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol902 = [0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0] pubkeycol903 = [0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1] pubkeycol904 = [0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol905 = [1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol906 = [0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol907 = [2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2] pubkeycol908 = [2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol909 = [0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol910 = [2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol911 = [1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol912 = [2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol913 = [2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol914 = [1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol915 = [2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol916 = [0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol917 = [0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2] pubkeycol918 = [1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol919 = [2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1] pubkeycol920 = [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol921 = [0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol922 = [0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2] pubkeycol923 = [2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol924 = [0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0] pubkeycol925 = [2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol926 = [2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol927 = [1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1] pubkeycol928 = [0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0] pubkeycol929 = [1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol930 = [2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol931 = [1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol932 = [1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0] pubkeycol933 = [2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol934 = [1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol935 = [0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol936 = [2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol937 = [2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2] pubkeycol938 = [0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2] pubkeycol939 = [2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol940 = [0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1] pubkeycol941 = [1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2] pubkeycol942 = [0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol943 = [1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0] pubkeycol944 = [1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2] pubkeycol945 = [1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol946 = [2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0] pubkeycol947 = [1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol948 = [0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1] pubkeycol949 = [1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol950 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol951 = [2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol952 = [2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol953 = [0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol954 = [1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1] pubkeycol955 = [1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2] pubkeycol956 = [0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0] pubkeycol957 = [2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol958 = [2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2] pubkeycol959 = [0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0] pubkeycol960 = [0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol961 = [0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol962 = [1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0] pubkeycol963 = [0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0] pubkeycol964 = [2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1] pubkeycol965 = [1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol966 = [0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol967 = [0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol968 = [1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol969 = [1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol970 = [2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol971 = [2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1] pubkeycol972 = [1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol973 = [0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1] pubkeycol974 = [2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol975 = [0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1] pubkeycol976 = [0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol977 = [2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2] pubkeycol978 = [0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol979 = [1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1] pubkeycol980 = [1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol981 = [2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol982 = [1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2] pubkeycol983 = [1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0] pubkeycol984 = [2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol985 = [1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol986 = [0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0] pubkeycol987 = [1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2] pubkeycol988 = [0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol989 = [1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol990 = [0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol991 = [1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol992 = [1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol993 = [2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol994 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol995 = [2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol996 = [1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol997 = [0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol998 = [2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol999 = [1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol1000 = [0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol1001 = [0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2] pubkeycol1002 = [1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol1003 = [2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0] pubkeycol1004 = [0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1] pubkeycol1005 = [0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol1006 = [1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0] pubkeycol1007 = [0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol1008 = [1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol1009 = [0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol1010 = [2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol1011 = [1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol1012 = [1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol1013 = [0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol1014 = [1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol1015 = [0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol1016 = [0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol1017 = [2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1] pubkeycol1018 = [0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol1019 = [2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0] pubkeycol1020 = [2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol1021 = [2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol1022 = [0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol1023 = [2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol1024 = [0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2] pubkeycol1025 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol1026 = [0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2] pubkeycol1027 = [2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0] pubkeycol1028 = [0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1] pubkeycol1029 = [2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol1030 = [2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol1031 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2] pubkeycol1032 = [2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2] pubkeycol1033 = [1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0] pubkeycol1034 = [2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2] pubkeycol1035 = [0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2] pubkeycol1036 = [1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0] pubkeycol1037 = [0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2] pubkeycol1038 = [1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1] pubkeycol1039 = [1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2] pubkeycol1040 = [0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol1041 = [1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1] pubkeycol1042 = [2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2] pubkeycol1043 = [0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol1044 = [0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol1045 = [1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol1046 = [0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0] pubkeycol1047 = [2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1] pubkeycol1048 = [2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1] pubkeycol1049 = [2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol1050 = [1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1] pubkeycol1051 = [1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2] pubkeycol1052 = [2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol1053 = [0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol1054 = [0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2] pubkeycol1055 = [2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol1056 = [2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1] pubkeycol1057 = [0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0] pubkeycol1058 = [1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol1059 = [2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol1060 = [0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol1061 = [2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2] pubkeycol1062 = [1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol1063 = [1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol1064 = [1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol1065 = [1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1] pubkeycol1066 = [1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol1067 = [0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol1068 = [2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol1069 = [1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol1070 = [1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol1071 = [1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol1072 = [2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol1073 = [2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol1074 = [0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol1075 = [0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol1076 = [2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol1077 = [2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol1078 = [2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1] pubkeycol1079 = [1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0] pubkeycol1080 = [0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol1081 = [0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2] pubkeycol1082 = [0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol1083 = [2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0] pubkeycol1084 = [2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol1085 = [0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2] pubkeycol1086 = [2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1087 = [1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol1088 = [0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol1089 = [1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol1090 = [2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol1091 = [0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol1092 = [0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol1093 = [1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0] pubkeycol1094 = [2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0] pubkeycol1095 = [1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2] pubkeycol1096 = [2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol1097 = [2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol1098 = [0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2] pubkeycol1099 = [0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol1100 = [2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol1101 = [2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol1102 = [0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol1103 = [2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0] pubkeycol1104 = [1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol1105 = [2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0] pubkeycol1106 = [0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1] pubkeycol1107 = [1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol1108 = [1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol1109 = [1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol1110 = [1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol1111 = [2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0] pubkeycol1112 = [1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol1113 = [1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol1114 = [0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol1115 = [1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol1116 = [0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2] pubkeycol1117 = [0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol1118 = [2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol1119 = [0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol1120 = [1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2] pubkeycol1121 = [0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2] pubkeycol1122 = [1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol1123 = [1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2] pubkeycol1124 = [1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol1125 = [0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1] pubkeycol1126 = [0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1] pubkeycol1127 = [1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0] pubkeycol1128 = [0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2] pubkeycol1129 = [2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1] pubkeycol1130 = [0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0] pubkeycol1131 = [2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0] pubkeycol1132 = [0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1] pubkeycol1133 = [1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol1134 = [2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1] pubkeycol1135 = [0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol1136 = [2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol1137 = [2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol1138 = [2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol1139 = [0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2] pubkeycol1140 = [1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol1141 = [2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2] pubkeycol1142 = [0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol1143 = [0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol1144 = [0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1] pubkeycol1145 = [1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol1146 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol1147 = [2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol1148 = [0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol1149 = [2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol1150 = [0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol1151 = [1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol1152 = [2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1] pubkeycol1153 = [0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol1154 = [1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0] pubkeycol1155 = [0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol1156 = [2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0] pubkeycol1157 = [1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2] pubkeycol1158 = [2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol1159 = [1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol1160 = [0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol1161 = [2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2] pubkeycol1162 = [1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0] pubkeycol1163 = [1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol1164 = [0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2] pubkeycol1165 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol1166 = [2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol1167 = [1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0] pubkeycol1168 = [2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1] pubkeycol1169 = [2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol1170 = [1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0] pubkeycol1171 = [2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2] pubkeycol1172 = [1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2] pubkeycol1173 = [1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0] pubkeycol1174 = [0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol1175 = [0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol1176 = [2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol1177 = [1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0] pubkeycol1178 = [1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol1179 = [2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0] pubkeycol1180 = [1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol1181 = [2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol1182 = [0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol1183 = [2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol1184 = [1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol1185 = [0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol1186 = [1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2] pubkeycol1187 = [2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol1188 = [2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol1189 = [1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol1190 = [2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol1191 = [2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1] pubkeycol1192 = [0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol1193 = [2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0] pubkeycol1194 = [0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0] pubkeycol1195 = [1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol1196 = [1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1197 = [1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1] pubkeycol1198 = [0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol1199 = [2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol1200 = [0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol1201 = [1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2]