kilobytes = 45.9933210048136 q = 3 m = 7 n = 1129 s = 0 t = 20 u = 40 k = 849 w = 30 ciphertext = [0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0] recovered_plaintext_using_secret_key = True pubkeycol280 = [1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1] pubkeycol281 = [1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0] pubkeycol282 = [1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2] pubkeycol283 = [0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol284 = [0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2] pubkeycol285 = [1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol286 = [0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol287 = [2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0] pubkeycol288 = [1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol289 = [1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol290 = [2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2] pubkeycol291 = [1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0] pubkeycol292 = [1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1] pubkeycol293 = [2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol294 = [1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol295 = [2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol296 = [2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0] pubkeycol297 = [1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol298 = [0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1] pubkeycol299 = [0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol300 = [0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol301 = [1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol302 = [1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0] pubkeycol303 = [2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol304 = [1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol305 = [2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1] pubkeycol306 = [1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol307 = [0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol308 = [0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol309 = [0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1] pubkeycol310 = [0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2] pubkeycol311 = [2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2] pubkeycol312 = [2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2] pubkeycol313 = [1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2] pubkeycol314 = [2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2] pubkeycol315 = [0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1] pubkeycol316 = [1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol317 = [1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol318 = [1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol319 = [1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol320 = [2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol321 = [0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol322 = [0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol323 = [1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol324 = [0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol325 = [0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol326 = [2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol327 = [1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol328 = [1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol329 = [2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol330 = [0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol331 = [1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1] pubkeycol332 = [2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol333 = [0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0] pubkeycol334 = [2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol335 = [2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol336 = [0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2] pubkeycol337 = [1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol338 = [2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2] pubkeycol339 = [0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol340 = [2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1] pubkeycol341 = [0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0] pubkeycol342 = [1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol343 = [0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0] pubkeycol344 = [2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol345 = [1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0] pubkeycol346 = [1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol347 = [2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol348 = [0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol349 = [1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol350 = [0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol351 = [1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol352 = [1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2] pubkeycol353 = [0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0] pubkeycol354 = [2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol355 = [0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1] pubkeycol356 = [1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol357 = [2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol358 = [0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2] pubkeycol359 = [0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0] pubkeycol360 = [1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol361 = [1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1] pubkeycol362 = [1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol363 = [1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol364 = [1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol365 = [1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1] pubkeycol366 = [1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2] pubkeycol367 = [0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol368 = [0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0] pubkeycol369 = [2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2] pubkeycol370 = [0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol371 = [1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2] pubkeycol372 = [2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol373 = [1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0] pubkeycol374 = [2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol375 = [1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1] pubkeycol376 = [0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol377 = [1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2] pubkeycol378 = [1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0] pubkeycol379 = [0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol380 = [0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol381 = [0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2] pubkeycol382 = [0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1] pubkeycol383 = [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2] pubkeycol384 = [0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol385 = [0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1] pubkeycol386 = [0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol387 = [1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol388 = [2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol389 = [0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol390 = [2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0] pubkeycol391 = [1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol392 = [2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol393 = [1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1] pubkeycol394 = [2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2] pubkeycol395 = [2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol396 = [1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1] pubkeycol397 = [1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2] pubkeycol398 = [1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol399 = [2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol400 = [0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol401 = [0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol402 = [2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1] pubkeycol403 = [2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol404 = [1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol405 = [1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol406 = [1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol407 = [1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol408 = [1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol409 = [1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0] pubkeycol410 = [1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol411 = [0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol412 = [2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol413 = [2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2] pubkeycol414 = [0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0] pubkeycol415 = [0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1] pubkeycol416 = [1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol417 = [2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1] pubkeycol418 = [0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol419 = [1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1] pubkeycol420 = [0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol421 = [2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0] pubkeycol422 = [0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol423 = [1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1] pubkeycol424 = [1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol425 = [1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol426 = [1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol427 = [2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol428 = [1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol429 = [0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol430 = [1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2] pubkeycol431 = [1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol432 = [2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1] pubkeycol433 = [1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol434 = [2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1] pubkeycol435 = [2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol436 = [0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol437 = [0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1] pubkeycol438 = [2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1] pubkeycol439 = [1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol440 = [2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol441 = [2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol442 = [1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1] pubkeycol443 = [1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol444 = [2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol445 = [2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1] pubkeycol446 = [1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol447 = [1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2] pubkeycol448 = [1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol449 = [2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1] pubkeycol450 = [1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2] pubkeycol451 = [0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol452 = [2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol453 = [0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol454 = [0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol455 = [1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol456 = [0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol457 = [1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol458 = [0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol459 = [0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol460 = [0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol461 = [1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol462 = [2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol463 = [2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol464 = [1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol465 = [1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol466 = [2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol467 = [0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0] pubkeycol468 = [1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0] pubkeycol469 = [1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol470 = [0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol471 = [0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1] pubkeycol472 = [0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol473 = [0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1] pubkeycol474 = [1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol475 = [1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol476 = [2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0] pubkeycol477 = [0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1] pubkeycol478 = [2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol479 = [1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0] pubkeycol480 = [0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol481 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0] pubkeycol482 = [1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2] pubkeycol483 = [2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol484 = [1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol485 = [0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2] pubkeycol486 = [1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1] pubkeycol487 = [0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol488 = [0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0] pubkeycol489 = [1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0] pubkeycol490 = [0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1] pubkeycol491 = [2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol492 = [1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol493 = [1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol494 = [0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol495 = [0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol496 = [1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0] pubkeycol497 = [1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2] pubkeycol498 = [0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0] pubkeycol499 = [0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol500 = [0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2] pubkeycol501 = [0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2] pubkeycol502 = [2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol503 = [0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol504 = [1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1] pubkeycol505 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0] pubkeycol506 = [2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1] pubkeycol507 = [2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol508 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol509 = [1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2] pubkeycol510 = [2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2] pubkeycol511 = [1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0] pubkeycol512 = [1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2] pubkeycol513 = [1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2] pubkeycol514 = [0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1] pubkeycol515 = [2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol516 = [1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1] pubkeycol517 = [0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1] pubkeycol518 = [2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol519 = [1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol520 = [0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1] pubkeycol521 = [0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0] pubkeycol522 = [0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0] pubkeycol523 = [2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1] pubkeycol524 = [2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2] pubkeycol525 = [1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol526 = [1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol527 = [2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol528 = [1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol529 = [0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2] pubkeycol530 = [0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0] pubkeycol531 = [2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2] pubkeycol532 = [0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol533 = [1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0] pubkeycol534 = [0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol535 = [0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol536 = [0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1] pubkeycol537 = [0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2] pubkeycol538 = [2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol539 = [2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0] pubkeycol540 = [0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1] pubkeycol541 = [0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1] pubkeycol542 = [0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol543 = [0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol544 = [0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol545 = [2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol546 = [1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1] pubkeycol547 = [2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol548 = [1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol549 = [0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2] pubkeycol550 = [2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0] pubkeycol551 = [2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol552 = [0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0] pubkeycol553 = [1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol554 = [2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol555 = [2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0] pubkeycol556 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol557 = [1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol558 = [0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1] pubkeycol559 = [2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol560 = [0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0] pubkeycol561 = [1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0] pubkeycol562 = [1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol563 = [0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0] pubkeycol564 = [0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0] pubkeycol565 = [1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1] pubkeycol566 = [1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1] pubkeycol567 = [1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol568 = [2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0] pubkeycol569 = [0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol570 = [0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol571 = [2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0] pubkeycol572 = [2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol573 = [2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2] pubkeycol574 = [0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2] pubkeycol575 = [1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol576 = [1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol577 = [0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2] pubkeycol578 = [0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol579 = [0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0] pubkeycol580 = [2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1] pubkeycol581 = [0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol582 = [2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol583 = [1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2] pubkeycol584 = [2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1] pubkeycol585 = [2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol586 = [1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1] pubkeycol587 = [2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1] pubkeycol588 = [1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol589 = [1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol590 = [1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol591 = [0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1] pubkeycol592 = [2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol593 = [0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol594 = [1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol595 = [2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1] pubkeycol596 = [2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2] pubkeycol597 = [2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0] pubkeycol598 = [1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2] pubkeycol599 = [1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol600 = [1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1] pubkeycol601 = [0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol602 = [2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol603 = [2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol604 = [1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol605 = [2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1] pubkeycol606 = [2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0] pubkeycol607 = [2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol608 = [0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol609 = [0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2] pubkeycol610 = [0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2] pubkeycol611 = [1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1] pubkeycol612 = [1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0] pubkeycol613 = [2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol614 = [2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol615 = [2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol616 = [2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol617 = [2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol618 = [1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0] pubkeycol619 = [0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol620 = [0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2] pubkeycol621 = [1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol622 = [0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2] pubkeycol623 = [2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol624 = [1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol625 = [2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0] pubkeycol626 = [2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol627 = [0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2] pubkeycol628 = [1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol629 = [1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol630 = [1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol631 = [1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol632 = [0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol633 = [2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol634 = [1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol635 = [0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol636 = [0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1] pubkeycol637 = [2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol638 = [2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1] pubkeycol639 = [2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2] pubkeycol640 = [2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol641 = [0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol642 = [0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol643 = [2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1] pubkeycol644 = [1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol645 = [0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1] pubkeycol646 = [2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0] pubkeycol647 = [1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2] pubkeycol648 = [2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0] pubkeycol649 = [0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol650 = [1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2] pubkeycol651 = [2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol652 = [0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol653 = [0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol654 = [2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol655 = [2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol656 = [1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0] pubkeycol657 = [2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0] pubkeycol658 = [2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0] pubkeycol659 = [2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol660 = [0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol661 = [2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1] pubkeycol662 = [0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol663 = [1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2] pubkeycol664 = [0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol665 = [1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2] pubkeycol666 = [1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol667 = [1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol668 = [0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol669 = [0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol670 = [0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol671 = [2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1] pubkeycol672 = [2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol673 = [1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2] pubkeycol674 = [0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol675 = [0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol676 = [2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol677 = [2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2] pubkeycol678 = [1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol679 = [1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0] pubkeycol680 = [0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol681 = [1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol682 = [1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol683 = [0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol684 = [0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol685 = [0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol686 = [1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2] pubkeycol687 = [0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0] pubkeycol688 = [0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol689 = [0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0] pubkeycol690 = [0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1] pubkeycol691 = [0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol692 = [0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0] pubkeycol693 = [2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol694 = [0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol695 = [0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1] pubkeycol696 = [1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol697 = [0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol698 = [1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol699 = [0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2] pubkeycol700 = [2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol701 = [0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2] pubkeycol702 = [1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol703 = [1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol704 = [0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol705 = [1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol706 = [1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol707 = [0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol708 = [1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol709 = [0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1] pubkeycol710 = [1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0] pubkeycol711 = [2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol712 = [0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol713 = [2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0] pubkeycol714 = [2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol715 = [2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol716 = [1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol717 = [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1] pubkeycol718 = [2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol719 = [0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol720 = [2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol721 = [1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0] pubkeycol722 = [2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol723 = [2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol724 = [1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1] pubkeycol725 = [0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol726 = [1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol727 = [2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol728 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1] pubkeycol729 = [1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0] pubkeycol730 = [2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol731 = [0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1] pubkeycol732 = [1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1] pubkeycol733 = [0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1] pubkeycol734 = [1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol735 = [2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol736 = [1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol737 = [1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2] pubkeycol738 = [1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol739 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol740 = [2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0] pubkeycol741 = [0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0] pubkeycol742 = [1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0] pubkeycol743 = [1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol744 = [1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol745 = [0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol746 = [1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol747 = [0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol748 = [2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0] pubkeycol749 = [1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0] pubkeycol750 = [2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol751 = [0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0] pubkeycol752 = [2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol753 = [2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol754 = [0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0] pubkeycol755 = [1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol756 = [2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol757 = [1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol758 = [2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol759 = [2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0] pubkeycol760 = [0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol761 = [0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0] pubkeycol762 = [1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol763 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol764 = [0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol765 = [0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0] pubkeycol766 = [2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0] pubkeycol767 = [2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol768 = [0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1] pubkeycol769 = [0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2] pubkeycol770 = [0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol771 = [2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol772 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol773 = [0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1] pubkeycol774 = [2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol775 = [0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol776 = [1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1] pubkeycol777 = [2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1] pubkeycol778 = [1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol779 = [1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol780 = [1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0] pubkeycol781 = [0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol782 = [0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1] pubkeycol783 = [2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2] pubkeycol784 = [0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1] pubkeycol785 = [2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0] pubkeycol786 = [2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol787 = [1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol788 = [2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0] pubkeycol789 = [2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol790 = [2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol791 = [1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol792 = [2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0] pubkeycol793 = [0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0] pubkeycol794 = [2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol795 = [2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2] pubkeycol796 = [0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1] pubkeycol797 = [1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol798 = [0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1] pubkeycol799 = [1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1] pubkeycol800 = [2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol801 = [2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol802 = [1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol803 = [1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol804 = [2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol805 = [1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol806 = [2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol807 = [2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol808 = [1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol809 = [1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol810 = [2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2] pubkeycol811 = [1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol812 = [0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0] pubkeycol813 = [2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol814 = [2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol815 = [1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol816 = [2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2] pubkeycol817 = [0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1] pubkeycol818 = [0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0] pubkeycol819 = [2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0] pubkeycol820 = [0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol821 = [1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol822 = [2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2] pubkeycol823 = [0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol824 = [1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol825 = [2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0] pubkeycol826 = [1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1] pubkeycol827 = [0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol828 = [1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1] pubkeycol829 = [0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2] pubkeycol830 = [2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol831 = [2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol832 = [1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol833 = [1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol834 = [0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol835 = [1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol836 = [0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol837 = [2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0] pubkeycol838 = [0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1] pubkeycol839 = [1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol840 = [2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1] pubkeycol841 = [1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol842 = [2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol843 = [1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0] pubkeycol844 = [0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2] pubkeycol845 = [1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol846 = [0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1] pubkeycol847 = [0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0] pubkeycol848 = [0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol849 = [1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol850 = [1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol851 = [2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0] pubkeycol852 = [0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol853 = [2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol854 = [0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol855 = [1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2] pubkeycol856 = [0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol857 = [2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1] pubkeycol858 = [0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol859 = [0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol860 = [2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1] pubkeycol861 = [0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol862 = [0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1] pubkeycol863 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol864 = [2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0] pubkeycol865 = [0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol866 = [0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1] pubkeycol867 = [1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2] pubkeycol868 = [2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1] pubkeycol869 = [1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol870 = [0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0] pubkeycol871 = [1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol872 = [0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol873 = [2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol874 = [1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol875 = [1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1] pubkeycol876 = [1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1] pubkeycol877 = [0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol878 = [0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol879 = [2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol880 = [0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol881 = [1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol882 = [1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0] pubkeycol883 = [1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2] pubkeycol884 = [2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol885 = [1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0] pubkeycol886 = [1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol887 = [1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol888 = [1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol889 = [2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1] pubkeycol890 = [0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0] pubkeycol891 = [2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0] pubkeycol892 = [0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1] pubkeycol893 = [0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1] pubkeycol894 = [0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0] pubkeycol895 = [1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0] pubkeycol896 = [0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol897 = [1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol898 = [0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1] pubkeycol899 = [0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol900 = [2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1] pubkeycol901 = [1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2] pubkeycol902 = [2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1] pubkeycol903 = [2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol904 = [1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0] pubkeycol905 = [2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol906 = [0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0] pubkeycol907 = [2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol908 = [2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1] pubkeycol909 = [1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol910 = [0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0] pubkeycol911 = [1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1] pubkeycol912 = [0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2] pubkeycol913 = [2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1] pubkeycol914 = [0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol915 = [1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1] pubkeycol916 = [2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol917 = [0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol918 = [2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol919 = [1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0] pubkeycol920 = [2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0] pubkeycol921 = [1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol922 = [2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol923 = [2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol924 = [0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol925 = [2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol926 = [0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0] pubkeycol927 = [1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol928 = [0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2] pubkeycol929 = [1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol930 = [0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0] pubkeycol931 = [0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol932 = [0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2] pubkeycol933 = [0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0] pubkeycol934 = [2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol935 = [1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0] pubkeycol936 = [1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol937 = [2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0] pubkeycol938 = [2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2] pubkeycol939 = [2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol940 = [2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2] pubkeycol941 = [0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol942 = [2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol943 = [2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0] pubkeycol944 = [1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol945 = [0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol946 = [0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol947 = [0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol948 = [2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0] pubkeycol949 = [2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1] pubkeycol950 = [0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol951 = [1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol952 = [0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0] pubkeycol953 = [1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol954 = [0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol955 = [0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol956 = [1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol957 = [0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol958 = [1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2] pubkeycol959 = [0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol960 = [0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol961 = [2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1] pubkeycol962 = [0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0] pubkeycol963 = [2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol964 = [0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol965 = [0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0] pubkeycol966 = [2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol967 = [0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0] pubkeycol968 = [0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2] pubkeycol969 = [2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol970 = [2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol971 = [2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0] pubkeycol972 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol973 = [2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0] pubkeycol974 = [0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol975 = [2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol976 = [0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1] pubkeycol977 = [2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2] pubkeycol978 = [2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol979 = [2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2] pubkeycol980 = [2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol981 = [0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2] pubkeycol982 = [0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0] pubkeycol983 = [0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol984 = [1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1] pubkeycol985 = [2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0] pubkeycol986 = [1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol987 = [0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol988 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2] pubkeycol989 = [1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol990 = [1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol991 = [1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2] pubkeycol992 = [1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2] pubkeycol993 = [0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1] pubkeycol994 = [1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol995 = [0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol996 = [1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol997 = [0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0] pubkeycol998 = [2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol999 = [0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol1000 = [0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0] pubkeycol1001 = [2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1] pubkeycol1002 = [0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1003 = [1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1] pubkeycol1004 = [2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol1005 = [0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2] pubkeycol1006 = [2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2] pubkeycol1007 = [2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol1008 = [0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol1009 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0] pubkeycol1010 = [0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol1011 = [0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol1012 = [2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol1013 = [2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0] pubkeycol1014 = [0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2] pubkeycol1015 = [1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0] pubkeycol1016 = [0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol1017 = [2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol1018 = [0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1] pubkeycol1019 = [0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol1020 = [2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol1021 = [2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2] pubkeycol1022 = [2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1] pubkeycol1023 = [0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol1024 = [1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol1025 = [0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2] pubkeycol1026 = [0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0] pubkeycol1027 = [2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1] pubkeycol1028 = [0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0] pubkeycol1029 = [2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2] pubkeycol1030 = [2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol1031 = [0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1] pubkeycol1032 = [2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol1033 = [1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol1034 = [0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol1035 = [0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol1036 = [0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol1037 = [1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol1038 = [1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2] pubkeycol1039 = [0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1] pubkeycol1040 = [1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0] pubkeycol1041 = [2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1] pubkeycol1042 = [2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol1043 = [2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1] pubkeycol1044 = [1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2] pubkeycol1045 = [2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1] pubkeycol1046 = [1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0] pubkeycol1047 = [1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol1048 = [0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol1049 = [2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol1050 = [0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1051 = [1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2] pubkeycol1052 = [2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol1053 = [0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol1054 = [0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol1055 = [1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol1056 = [0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol1057 = [2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1] pubkeycol1058 = [2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1] pubkeycol1059 = [1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2] pubkeycol1060 = [1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0] pubkeycol1061 = [1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol1062 = [0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0] pubkeycol1063 = [1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol1064 = [2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1] pubkeycol1065 = [1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol1066 = [0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol1067 = [0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2] pubkeycol1068 = [0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0] pubkeycol1069 = [0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2] pubkeycol1070 = [1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0] pubkeycol1071 = [0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol1072 = [2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol1073 = [1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2] pubkeycol1074 = [1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol1075 = [0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol1076 = [0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2] pubkeycol1077 = [2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2] pubkeycol1078 = [1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol1079 = [0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol1080 = [0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol1081 = [1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0] pubkeycol1082 = [1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol1083 = [2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1] pubkeycol1084 = [2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0] pubkeycol1085 = [2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol1086 = [2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol1087 = [0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1] pubkeycol1088 = [1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2] pubkeycol1089 = [2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol1090 = [2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol1091 = [0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol1092 = [0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol1093 = [1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0] pubkeycol1094 = [0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol1095 = [2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0] pubkeycol1096 = [2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol1097 = [1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol1098 = [2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol1099 = [1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2] pubkeycol1100 = [0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0] pubkeycol1101 = [0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol1102 = [2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol1103 = [0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0] pubkeycol1104 = [2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1] pubkeycol1105 = [2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1] pubkeycol1106 = [0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol1107 = [0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol1108 = [1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol1109 = [1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol1110 = [1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0] pubkeycol1111 = [2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2] pubkeycol1112 = [0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol1113 = [2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol1114 = [0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol1115 = [0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2] pubkeycol1116 = [0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol1117 = [1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol1118 = [1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1] pubkeycol1119 = [1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol1120 = [0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0] pubkeycol1121 = [0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol1122 = [2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol1123 = [2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol1124 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0] pubkeycol1125 = [1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2] pubkeycol1126 = [2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1] pubkeycol1127 = [0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2] pubkeycol1128 = [2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0]