kilobytes = 41.3885715520349 q = 3 m = 7 n = 1044 s = 0 t = 20 u = 40 k = 764 w = 30 ciphertext = [0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol280 = [2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol281 = [1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol282 = [0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1] pubkeycol283 = [2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol284 = [1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol285 = [0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1] pubkeycol286 = [1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol287 = [0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2] pubkeycol288 = [0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol289 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol290 = [0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2] pubkeycol291 = [2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0] pubkeycol292 = [0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol293 = [2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0] pubkeycol294 = [2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1] pubkeycol295 = [1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0] pubkeycol296 = [1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0] pubkeycol297 = [2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1] pubkeycol298 = [0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2] pubkeycol299 = [2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1] pubkeycol300 = [1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol301 = [0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0] pubkeycol302 = [2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2] pubkeycol303 = [0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0] pubkeycol304 = [0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol305 = [0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol306 = [1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol307 = [0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol308 = [2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol309 = [2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1] pubkeycol310 = [0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0] pubkeycol311 = [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2] pubkeycol312 = [2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0] pubkeycol313 = [2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol314 = [0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol315 = [2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1] pubkeycol316 = [2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol317 = [2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol318 = [0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol319 = [1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol320 = [1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2] pubkeycol321 = [0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol322 = [2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0] pubkeycol323 = [0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol324 = [2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol325 = [1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2] pubkeycol326 = [1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol327 = [2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2] pubkeycol328 = [2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2] pubkeycol329 = [0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2] pubkeycol330 = [1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0] pubkeycol331 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0] pubkeycol332 = [0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol333 = [0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol334 = [2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2] pubkeycol335 = [0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2] pubkeycol336 = [0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2] pubkeycol337 = [0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol338 = [0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol339 = [1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1] pubkeycol340 = [0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1] pubkeycol341 = [2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol342 = [1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol343 = [1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2] pubkeycol344 = [1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol345 = [2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol346 = [0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol347 = [2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2] pubkeycol348 = [0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol349 = [2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol350 = [1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol351 = [2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1] pubkeycol352 = [2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0] pubkeycol353 = [2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol354 = [0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol355 = [0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2] pubkeycol356 = [1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0] pubkeycol357 = [2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0] pubkeycol358 = [1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol359 = [2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol360 = [0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol361 = [0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol362 = [1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2] pubkeycol363 = [0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol364 = [2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol365 = [1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0] pubkeycol366 = [2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol367 = [1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol368 = [0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol369 = [2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol370 = [1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol371 = [1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol372 = [0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1] pubkeycol373 = [2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol374 = [2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol375 = [2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol376 = [1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2] pubkeycol377 = [2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol378 = [2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol379 = [0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol380 = [2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol381 = [0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol382 = [1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol383 = [2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2] pubkeycol384 = [2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1] pubkeycol385 = [1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol386 = [0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0] pubkeycol387 = [1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol388 = [1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0] pubkeycol389 = [1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2] pubkeycol390 = [1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2] pubkeycol391 = [2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol392 = [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol393 = [0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol394 = [1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2] pubkeycol395 = [1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol396 = [0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol397 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2] pubkeycol398 = [2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol399 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1] pubkeycol400 = [1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol401 = [0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2] pubkeycol402 = [2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol403 = [0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol404 = [2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1] pubkeycol405 = [1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol406 = [0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol407 = [2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol408 = [1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol409 = [1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2] pubkeycol410 = [1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1] pubkeycol411 = [2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2] pubkeycol412 = [0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol413 = [2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol414 = [2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol415 = [1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1] pubkeycol416 = [2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0] pubkeycol417 = [2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol418 = [0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1] pubkeycol419 = [1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol420 = [0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol421 = [2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol422 = [1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2] pubkeycol423 = [0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol424 = [0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0] pubkeycol425 = [1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol426 = [0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol427 = [0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol428 = [2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2] pubkeycol429 = [1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol430 = [2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2] pubkeycol431 = [1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol432 = [2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol433 = [0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol434 = [1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol435 = [1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2] pubkeycol436 = [1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol437 = [2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0] pubkeycol438 = [2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1] pubkeycol439 = [1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0] pubkeycol440 = [1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2] pubkeycol441 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0] pubkeycol442 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol443 = [1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2] pubkeycol444 = [2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol445 = [1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol446 = [0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1] pubkeycol447 = [2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2] pubkeycol448 = [1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol449 = [2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol450 = [2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol451 = [1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol452 = [2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol453 = [2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1] pubkeycol454 = [0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol455 = [2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol456 = [1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2] pubkeycol457 = [0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol458 = [1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2] pubkeycol459 = [2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol460 = [2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2] pubkeycol461 = [1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1] pubkeycol462 = [2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2] pubkeycol463 = [2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1] pubkeycol464 = [2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0] pubkeycol465 = [1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0] pubkeycol466 = [2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol467 = [2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol468 = [0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1] pubkeycol469 = [1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol470 = [0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol471 = [2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2] pubkeycol472 = [1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0] pubkeycol473 = [1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol474 = [1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol475 = [2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol476 = [2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2] pubkeycol477 = [2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol478 = [0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0] pubkeycol479 = [0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0] pubkeycol480 = [2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0] pubkeycol481 = [2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1] pubkeycol482 = [0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol483 = [2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1] pubkeycol484 = [2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol485 = [0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2] pubkeycol486 = [2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0] pubkeycol487 = [1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol488 = [1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol489 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1] pubkeycol490 = [0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2] pubkeycol491 = [2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0] pubkeycol492 = [0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol493 = [0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol494 = [2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1] pubkeycol495 = [2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol496 = [1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0] pubkeycol497 = [1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0] pubkeycol498 = [0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol499 = [0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1] pubkeycol500 = [0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol501 = [0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol502 = [0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol503 = [2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol504 = [0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol505 = [0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2] pubkeycol506 = [0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol507 = [1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol508 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol509 = [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol510 = [1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2] pubkeycol511 = [1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol512 = [0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol513 = [1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol514 = [1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0] pubkeycol515 = [2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1] pubkeycol516 = [0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol517 = [0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2] pubkeycol518 = [0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol519 = [2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol520 = [0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol521 = [0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1] pubkeycol522 = [0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol523 = [0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0] pubkeycol524 = [1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol525 = [2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol526 = [1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol527 = [2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol528 = [1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0] pubkeycol529 = [2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol530 = [2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol531 = [2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0] pubkeycol532 = [2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0] pubkeycol533 = [1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2] pubkeycol534 = [1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol535 = [2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol536 = [1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0] pubkeycol537 = [0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol538 = [2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol539 = [2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1] pubkeycol540 = [2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0] pubkeycol541 = [2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1] pubkeycol542 = [0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol543 = [0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol544 = [2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol545 = [2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol546 = [0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol547 = [2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1] pubkeycol548 = [1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2] pubkeycol549 = [0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2] pubkeycol550 = [1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol551 = [2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol552 = [1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1] pubkeycol553 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0] pubkeycol554 = [2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol555 = [2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol556 = [2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1] pubkeycol557 = [2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1] pubkeycol558 = [0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1] pubkeycol559 = [1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol560 = [0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol561 = [0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol562 = [2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1] pubkeycol563 = [0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1] pubkeycol564 = [2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1] pubkeycol565 = [1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol566 = [1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol567 = [0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol568 = [1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol569 = [0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol570 = [0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1] pubkeycol571 = [1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2] pubkeycol572 = [0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol573 = [1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0] pubkeycol574 = [1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0] pubkeycol575 = [2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2] pubkeycol576 = [0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol577 = [2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol578 = [1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2] pubkeycol579 = [2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol580 = [0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0] pubkeycol581 = [2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol582 = [2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol583 = [1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2] pubkeycol584 = [1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol585 = [2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol586 = [0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol587 = [1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol588 = [1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol589 = [0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol590 = [0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol591 = [1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2] pubkeycol592 = [0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol593 = [1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol594 = [0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol595 = [0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0] pubkeycol596 = [0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol597 = [0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol598 = [0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol599 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol600 = [2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0] pubkeycol601 = [0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2] pubkeycol602 = [1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol603 = [0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1] pubkeycol604 = [0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol605 = [0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1] pubkeycol606 = [1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol607 = [0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol608 = [1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1] pubkeycol609 = [0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1] pubkeycol610 = [1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol611 = [2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol612 = [1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2] pubkeycol613 = [1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol614 = [1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol615 = [1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol616 = [0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol617 = [1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0] pubkeycol618 = [1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol619 = [1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol620 = [0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1] pubkeycol621 = [2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1] pubkeycol622 = [0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0] pubkeycol623 = [1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol624 = [2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1] pubkeycol625 = [2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2] pubkeycol626 = [2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol627 = [2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol628 = [1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol629 = [1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0] pubkeycol630 = [2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0] pubkeycol631 = [2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0] pubkeycol632 = [1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1] pubkeycol633 = [1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1] pubkeycol634 = [2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0] pubkeycol635 = [2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol636 = [1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1] pubkeycol637 = [0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol638 = [0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol639 = [1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol640 = [2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol641 = [0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol642 = [2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol643 = [1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2] pubkeycol644 = [1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol645 = [1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol646 = [0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0] pubkeycol647 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol648 = [0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol649 = [1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0] pubkeycol650 = [0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol651 = [0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol652 = [2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol653 = [0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1] pubkeycol654 = [1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol655 = [2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol656 = [2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol657 = [0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2] pubkeycol658 = [0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1] pubkeycol659 = [1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1] pubkeycol660 = [2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0] pubkeycol661 = [2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0] pubkeycol662 = [0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol663 = [0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol664 = [1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol665 = [2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol666 = [2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2] pubkeycol667 = [2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1] pubkeycol668 = [2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0] pubkeycol669 = [1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1] pubkeycol670 = [2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0] pubkeycol671 = [0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1] pubkeycol672 = [2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2] pubkeycol673 = [1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol674 = [2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2] pubkeycol675 = [1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0] pubkeycol676 = [2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol677 = [2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2] pubkeycol678 = [0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0] pubkeycol679 = [1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol680 = [1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol681 = [2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2] pubkeycol682 = [2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2] pubkeycol683 = [1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol684 = [2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1] pubkeycol685 = [1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol686 = [1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol687 = [1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol688 = [2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2] pubkeycol689 = [0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol690 = [0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0] pubkeycol691 = [1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol692 = [1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2] pubkeycol693 = [2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol694 = [0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol695 = [1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1] pubkeycol696 = [1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0] pubkeycol697 = [0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2] pubkeycol698 = [1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1] pubkeycol699 = [2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol700 = [1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol701 = [2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0] pubkeycol702 = [1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1] pubkeycol703 = [2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol704 = [2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol705 = [0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol706 = [2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol707 = [0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1] pubkeycol708 = [2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol709 = [2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0] pubkeycol710 = [1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2] pubkeycol711 = [2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2] pubkeycol712 = [2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol713 = [1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol714 = [2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2] pubkeycol715 = [0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol716 = [0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol717 = [2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol718 = [1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol719 = [2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol720 = [2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2] pubkeycol721 = [1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2] pubkeycol722 = [1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0] pubkeycol723 = [2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol724 = [2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol725 = [0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol726 = [1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0] pubkeycol727 = [1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol728 = [2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol729 = [2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol730 = [1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol731 = [0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0] pubkeycol732 = [0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol733 = [0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2] pubkeycol734 = [2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol735 = [2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol736 = [1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol737 = [0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol738 = [0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0] pubkeycol739 = [2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol740 = [2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol741 = [0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2] pubkeycol742 = [2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol743 = [0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2] pubkeycol744 = [1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2] pubkeycol745 = [0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol746 = [1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0] pubkeycol747 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1] pubkeycol748 = [1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol749 = [0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0] pubkeycol750 = [1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol751 = [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol752 = [2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol753 = [0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol754 = [0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol755 = [1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol756 = [1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0] pubkeycol757 = [0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol758 = [0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol759 = [2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol760 = [1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0] pubkeycol761 = [1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol762 = [2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0] pubkeycol763 = [0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0] pubkeycol764 = [0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol765 = [2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol766 = [1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1] pubkeycol767 = [1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2] pubkeycol768 = [1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1] pubkeycol769 = [0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2] pubkeycol770 = [2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol771 = [2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol772 = [1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1] pubkeycol773 = [0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol774 = [1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol775 = [2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0] pubkeycol776 = [0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2] pubkeycol777 = [0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2] pubkeycol778 = [1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol779 = [0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol780 = [2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol781 = [0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol782 = [2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1] pubkeycol783 = [2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol784 = [2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol785 = [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0] pubkeycol786 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0] pubkeycol787 = [1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol788 = [2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol789 = [1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol790 = [2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol791 = [1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol792 = [0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol793 = [2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1] pubkeycol794 = [2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0] pubkeycol795 = [1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol796 = [0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol797 = [2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol798 = [1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol799 = [2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0] pubkeycol800 = [1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol801 = [2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol802 = [1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol803 = [1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol804 = [2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2] pubkeycol805 = [0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0] pubkeycol806 = [0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol807 = [1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol808 = [2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0] pubkeycol809 = [1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol810 = [0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol811 = [2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol812 = [0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2] pubkeycol813 = [2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol814 = [2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2] pubkeycol815 = [0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1] pubkeycol816 = [2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0] pubkeycol817 = [0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2] pubkeycol818 = [0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol819 = [0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol820 = [1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol821 = [0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol822 = [1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol823 = [2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol824 = [2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol825 = [1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2] pubkeycol826 = [1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol827 = [2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0] pubkeycol828 = [2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1] pubkeycol829 = [2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol830 = [2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0] pubkeycol831 = [0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2] pubkeycol832 = [0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0] pubkeycol833 = [2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol834 = [1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0] pubkeycol835 = [2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol836 = [0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol837 = [0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1] pubkeycol838 = [2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol839 = [1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0] pubkeycol840 = [1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol841 = [0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0] pubkeycol842 = [2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol843 = [2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol844 = [2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol845 = [0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2] pubkeycol846 = [2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0] pubkeycol847 = [2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol848 = [2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol849 = [1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2] pubkeycol850 = [0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol851 = [1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1] pubkeycol852 = [0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol853 = [0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol854 = [1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol855 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol856 = [1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol857 = [1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol858 = [2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol859 = [2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol860 = [1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol861 = [0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol862 = [0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol863 = [2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1] pubkeycol864 = [1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol865 = [1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1] pubkeycol866 = [1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0] pubkeycol867 = [0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol868 = [1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2] pubkeycol869 = [0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1] pubkeycol870 = [2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol871 = [2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol872 = [1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1] pubkeycol873 = [1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1] pubkeycol874 = [2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol875 = [2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol876 = [2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol877 = [1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol878 = [0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol879 = [2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2] pubkeycol880 = [2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol881 = [1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol882 = [1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol883 = [0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol884 = [2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1] pubkeycol885 = [1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol886 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol887 = [1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol888 = [1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0] pubkeycol889 = [1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol890 = [2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol891 = [2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1] pubkeycol892 = [0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2] pubkeycol893 = [0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1] pubkeycol894 = [2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol895 = [2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2] pubkeycol896 = [2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol897 = [0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2] pubkeycol898 = [1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol899 = [2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol900 = [1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol901 = [0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol902 = [1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol903 = [1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol904 = [1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol905 = [2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol906 = [0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol907 = [2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol908 = [1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol909 = [0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0] pubkeycol910 = [1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1] pubkeycol911 = [1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol912 = [0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol913 = [0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol914 = [2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol915 = [2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1] pubkeycol916 = [0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1] pubkeycol917 = [1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol918 = [1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol919 = [0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1] pubkeycol920 = [1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol921 = [0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0] pubkeycol922 = [2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol923 = [0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1] pubkeycol924 = [0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol925 = [0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol926 = [1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2] pubkeycol927 = [0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol928 = [0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2] pubkeycol929 = [0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol930 = [2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1] pubkeycol931 = [0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol932 = [2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2] pubkeycol933 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol934 = [2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol935 = [0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0] pubkeycol936 = [0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol937 = [0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0] pubkeycol938 = [2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0] pubkeycol939 = [0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1] pubkeycol940 = [2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol941 = [1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol942 = [0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2] pubkeycol943 = [2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1] pubkeycol944 = [1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol945 = [2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol946 = [1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol947 = [1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2] pubkeycol948 = [0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol949 = [0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1] pubkeycol950 = [0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol951 = [2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol952 = [2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1] pubkeycol953 = [1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0] pubkeycol954 = [2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol955 = [1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol956 = [1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol957 = [1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol958 = [0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2] pubkeycol959 = [1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol960 = [2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol961 = [1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol962 = [0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol963 = [2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol964 = [1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol965 = [1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol966 = [1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol967 = [2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2] pubkeycol968 = [1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1] pubkeycol969 = [0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1] pubkeycol970 = [2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0] pubkeycol971 = [2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1] pubkeycol972 = [0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol973 = [1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2] pubkeycol974 = [1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol975 = [0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol976 = [0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol977 = [0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2] pubkeycol978 = [0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0] pubkeycol979 = [1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol980 = [2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol981 = [0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol982 = [0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol983 = [0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0] pubkeycol984 = [0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1] pubkeycol985 = [1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol986 = [2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1] pubkeycol987 = [1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol988 = [2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol989 = [2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1] pubkeycol990 = [0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol991 = [2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol992 = [2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol993 = [0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2] pubkeycol994 = [1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1] pubkeycol995 = [1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol996 = [0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2] pubkeycol997 = [1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol998 = [0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol999 = [2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2] pubkeycol1000 = [2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol1001 = [0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol1002 = [0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2] pubkeycol1003 = [2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1] pubkeycol1004 = [1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol1005 = [0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol1006 = [2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol1007 = [1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0] pubkeycol1008 = [2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol1009 = [2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol1010 = [0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol1011 = [1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1] pubkeycol1012 = [0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0] pubkeycol1013 = [1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1] pubkeycol1014 = [0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2] pubkeycol1015 = [1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol1016 = [0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1] pubkeycol1017 = [1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0] pubkeycol1018 = [1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol1019 = [1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol1020 = [0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1] pubkeycol1021 = [0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1] pubkeycol1022 = [2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0] pubkeycol1023 = [2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol1024 = [2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol1025 = [2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2] pubkeycol1026 = [2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol1027 = [2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1] pubkeycol1028 = [2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol1029 = [2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2] pubkeycol1030 = [2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol1031 = [1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol1032 = [1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol1033 = [0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol1034 = [2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1] pubkeycol1035 = [2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0] pubkeycol1036 = [0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol1037 = [1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol1038 = [1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol1039 = [0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol1040 = [0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol1041 = [1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol1042 = [0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0] pubkeycol1043 = [1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0]