kilobytes = 49.1028812235136 q = 3 m = 7 n = 1132 s = 0 t = 22 u = 44 k = 824 w = 33 ciphertext = [2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0] recovered_plaintext_using_secret_key = True pubkeycol308 = [2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol309 = [1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol310 = [2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1] pubkeycol311 = [1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol312 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol313 = [1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0] pubkeycol314 = [1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2] pubkeycol315 = [0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol316 = [0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol317 = [1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol318 = [0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol319 = [1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol320 = [1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol321 = [0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1] pubkeycol322 = [0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1] pubkeycol323 = [2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1] pubkeycol324 = [2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol325 = [0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol326 = [2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol327 = [0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol328 = [0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0] pubkeycol329 = [1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol330 = [1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2] pubkeycol331 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0] pubkeycol332 = [1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2] pubkeycol333 = [1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol334 = [0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol335 = [2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2] pubkeycol336 = [2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol337 = [1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol338 = [1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol339 = [1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2] pubkeycol340 = [1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0] pubkeycol341 = [0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0] pubkeycol342 = [1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol343 = [2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol344 = [1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol345 = [0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol346 = [1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0] pubkeycol347 = [2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol348 = [1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0] pubkeycol349 = [0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol350 = [0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0] pubkeycol351 = [2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol352 = [2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol353 = [2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol354 = [1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2] pubkeycol355 = [0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol356 = [0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol357 = [2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1] pubkeycol358 = [2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0] pubkeycol359 = [1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol360 = [1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0] pubkeycol361 = [0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol362 = [0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol363 = [1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol364 = [1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0] pubkeycol365 = [1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol366 = [1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol367 = [0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol368 = [2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol369 = [0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol370 = [1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol371 = [1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2] pubkeycol372 = [0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol373 = [1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol374 = [2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2] pubkeycol375 = [2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol376 = [0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2] pubkeycol377 = [1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1] pubkeycol378 = [0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1] pubkeycol379 = [0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol380 = [0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1] pubkeycol381 = [2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol382 = [0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0] pubkeycol383 = [0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol384 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol385 = [1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol386 = [0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol387 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol388 = [0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol389 = [2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol390 = [0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol391 = [1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol392 = [1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0] pubkeycol393 = [2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol394 = [2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0] pubkeycol395 = [0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol396 = [2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol397 = [2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2] pubkeycol398 = [2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol399 = [1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol400 = [0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol401 = [0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol402 = [1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1] pubkeycol403 = [0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1] pubkeycol404 = [2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol405 = [1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2] pubkeycol406 = [1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2] pubkeycol407 = [1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0] pubkeycol408 = [2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0] pubkeycol409 = [0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol410 = [2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0] pubkeycol411 = [1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2] pubkeycol412 = [1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol413 = [1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol414 = [1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2] pubkeycol415 = [0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol416 = [0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0] pubkeycol417 = [0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol418 = [0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0] pubkeycol419 = [2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0] pubkeycol420 = [2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0] pubkeycol421 = [1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1] pubkeycol422 = [1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol423 = [1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0] pubkeycol424 = [0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol425 = [1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol426 = [1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0] pubkeycol427 = [1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol428 = [2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2] pubkeycol429 = [0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol430 = [2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol431 = [1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol432 = [2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol433 = [0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol434 = [0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol435 = [2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1] pubkeycol436 = [0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol437 = [2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol438 = [0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol439 = [1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1] pubkeycol440 = [2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol441 = [1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol442 = [2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2] pubkeycol443 = [0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1] pubkeycol444 = [0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2] pubkeycol445 = [0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2] pubkeycol446 = [0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2] pubkeycol447 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol448 = [1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol449 = [2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol450 = [2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2] pubkeycol451 = [0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0] pubkeycol452 = [2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1] pubkeycol453 = [0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol454 = [1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2] pubkeycol455 = [2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol456 = [1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol457 = [0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol458 = [1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol459 = [0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0] pubkeycol460 = [1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol461 = [0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol462 = [2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1] pubkeycol463 = [0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol464 = [0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol465 = [0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol466 = [1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol467 = [2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0] pubkeycol468 = [1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1] pubkeycol469 = [0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol470 = [0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1] pubkeycol471 = [2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0] pubkeycol472 = [2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0] pubkeycol473 = [0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2] pubkeycol474 = [2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0] pubkeycol475 = [2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol476 = [0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol477 = [0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2] pubkeycol478 = [0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2] pubkeycol479 = [2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2] pubkeycol480 = [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol481 = [0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol482 = [1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2] pubkeycol483 = [1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol484 = [0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol485 = [2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2] pubkeycol486 = [0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol487 = [0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2] pubkeycol488 = [1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol489 = [0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol490 = [0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol491 = [0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0] pubkeycol492 = [1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol493 = [0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0] pubkeycol494 = [1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1] pubkeycol495 = [1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol496 = [2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol497 = [2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1] pubkeycol498 = [0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0] pubkeycol499 = [2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1] pubkeycol500 = [0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol501 = [1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol502 = [0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol503 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol504 = [0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol505 = [2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol506 = [2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2] pubkeycol507 = [0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol508 = [2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol509 = [1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol510 = [2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol511 = [1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2] pubkeycol512 = [2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol513 = [2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol514 = [1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol515 = [0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2] pubkeycol516 = [0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol517 = [2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol518 = [2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1] pubkeycol519 = [0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol520 = [0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol521 = [0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1] pubkeycol522 = [1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol523 = [1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2] pubkeycol524 = [0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol525 = [2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol526 = [2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol527 = [2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol528 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol529 = [2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0] pubkeycol530 = [0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol531 = [0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol532 = [1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0] pubkeycol533 = [2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol534 = [0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol535 = [1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1] pubkeycol536 = [2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol537 = [1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1] pubkeycol538 = [0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol539 = [1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol540 = [0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol541 = [2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol542 = [0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1] pubkeycol543 = [1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0] pubkeycol544 = [0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1] pubkeycol545 = [1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1] pubkeycol546 = [2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol547 = [2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0] pubkeycol548 = [1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol549 = [0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0] pubkeycol550 = [2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol551 = [2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol552 = [1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol553 = [0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol554 = [2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol555 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol556 = [0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1] pubkeycol557 = [0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0] pubkeycol558 = [0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1] pubkeycol559 = [0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1] pubkeycol560 = [2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol561 = [2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol562 = [1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2] pubkeycol563 = [0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol564 = [2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol565 = [2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol566 = [1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol567 = [2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol568 = [0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2] pubkeycol569 = [0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1] pubkeycol570 = [2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol571 = [0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2] pubkeycol572 = [0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1] pubkeycol573 = [0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol574 = [2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol575 = [0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2] pubkeycol576 = [1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1] pubkeycol577 = [2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol578 = [1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol579 = [0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol580 = [0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2] pubkeycol581 = [0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol582 = [2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol583 = [0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol584 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol585 = [2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol586 = [0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2] pubkeycol587 = [0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol588 = [1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1] pubkeycol589 = [0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol590 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2] pubkeycol591 = [2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2] pubkeycol592 = [1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0] pubkeycol593 = [2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol594 = [2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol595 = [0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1] pubkeycol596 = [1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2] pubkeycol597 = [1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol598 = [1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1] pubkeycol599 = [0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol600 = [2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2] pubkeycol601 = [1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol602 = [0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol603 = [1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0] pubkeycol604 = [0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0] pubkeycol605 = [0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol606 = [1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1] pubkeycol607 = [1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2] pubkeycol608 = [1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1] pubkeycol609 = [0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol610 = [1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol611 = [0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol612 = [1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0] pubkeycol613 = [2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0] pubkeycol614 = [2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2] pubkeycol615 = [2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2] pubkeycol616 = [2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1] pubkeycol617 = [2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol618 = [2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol619 = [0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol620 = [0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2] pubkeycol621 = [0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol622 = [2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2] pubkeycol623 = [0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol624 = [0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol625 = [1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol626 = [1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol627 = [2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1] pubkeycol628 = [2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol629 = [0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol630 = [1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol631 = [2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol632 = [0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol633 = [0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol634 = [0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2] pubkeycol635 = [2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol636 = [2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol637 = [1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol638 = [1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0] pubkeycol639 = [1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol640 = [2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol641 = [1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0] pubkeycol642 = [0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1] pubkeycol643 = [0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol644 = [2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0] pubkeycol645 = [1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol646 = [0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol647 = [2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol648 = [0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol649 = [1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol650 = [2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol651 = [0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol652 = [2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol653 = [2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol654 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol655 = [0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1] pubkeycol656 = [2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1] pubkeycol657 = [1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1] pubkeycol658 = [1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol659 = [1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1] pubkeycol660 = [0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0] pubkeycol661 = [2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1] pubkeycol662 = [1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1] pubkeycol663 = [1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol664 = [2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2] pubkeycol665 = [1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol666 = [1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol667 = [0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol668 = [0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0] pubkeycol669 = [2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0] pubkeycol670 = [1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2] pubkeycol671 = [0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0] pubkeycol672 = [0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1] pubkeycol673 = [0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol674 = [2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol675 = [2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol676 = [1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol677 = [0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol678 = [1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol679 = [1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0] pubkeycol680 = [1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol681 = [1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0] pubkeycol682 = [2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2] pubkeycol683 = [2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol684 = [1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0] pubkeycol685 = [0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol686 = [1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0] pubkeycol687 = [2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol688 = [1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0] pubkeycol689 = [0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1] pubkeycol690 = [2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol691 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0] pubkeycol692 = [0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0] pubkeycol693 = [1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol694 = [2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol695 = [1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2] pubkeycol696 = [0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0] pubkeycol697 = [0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1] pubkeycol698 = [0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1] pubkeycol699 = [0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0] pubkeycol700 = [0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol701 = [1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol702 = [2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2] pubkeycol703 = [2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2] pubkeycol704 = [1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol705 = [2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2] pubkeycol706 = [0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2] pubkeycol707 = [2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol708 = [0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2] pubkeycol709 = [2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol710 = [2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2] pubkeycol711 = [2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol712 = [1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2] pubkeycol713 = [0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1] pubkeycol714 = [1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol715 = [1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1] pubkeycol716 = [0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol717 = [0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2] pubkeycol718 = [2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2] pubkeycol719 = [0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2] pubkeycol720 = [2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol721 = [1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2] pubkeycol722 = [0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol723 = [0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol724 = [0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol725 = [1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1] pubkeycol726 = [2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol727 = [2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol728 = [2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol729 = [2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1] pubkeycol730 = [1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2] pubkeycol731 = [1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol732 = [2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol733 = [0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol734 = [0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol735 = [2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol736 = [2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol737 = [2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol738 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol739 = [1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2] pubkeycol740 = [1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol741 = [2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol742 = [2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0] pubkeycol743 = [2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2] pubkeycol744 = [2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0] pubkeycol745 = [1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol746 = [0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1] pubkeycol747 = [0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol748 = [0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2] pubkeycol749 = [1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0] pubkeycol750 = [1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2] pubkeycol751 = [0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol752 = [1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol753 = [0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0] pubkeycol754 = [1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol755 = [2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol756 = [2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol757 = [1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0] pubkeycol758 = [1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0] pubkeycol759 = [0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol760 = [2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol761 = [2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1] pubkeycol762 = [0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol763 = [2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol764 = [1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1] pubkeycol765 = [2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol766 = [2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0] pubkeycol767 = [0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2] pubkeycol768 = [0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0] pubkeycol769 = [2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0] pubkeycol770 = [1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol771 = [1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1] pubkeycol772 = [1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2] pubkeycol773 = [1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0] pubkeycol774 = [1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol775 = [0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1] pubkeycol776 = [0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol777 = [1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2] pubkeycol778 = [2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol779 = [2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2] pubkeycol780 = [2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol781 = [1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol782 = [1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol783 = [1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol784 = [0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol785 = [0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol786 = [0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol787 = [1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol788 = [0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2] pubkeycol789 = [0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol790 = [1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol791 = [2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol792 = [0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol793 = [1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2] pubkeycol794 = [1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0] pubkeycol795 = [2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol796 = [0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol797 = [0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol798 = [2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1] pubkeycol799 = [1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1] pubkeycol800 = [2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1] pubkeycol801 = [2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2] pubkeycol802 = [1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0] pubkeycol803 = [0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol804 = [2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol805 = [0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1] pubkeycol806 = [0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol807 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2] pubkeycol808 = [2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol809 = [1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol810 = [2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol811 = [1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol812 = [1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1] pubkeycol813 = [1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol814 = [1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2] pubkeycol815 = [0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol816 = [2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol817 = [0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol818 = [2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol819 = [1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol820 = [1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1] pubkeycol821 = [1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol822 = [2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol823 = [0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0] pubkeycol824 = [1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0] pubkeycol825 = [2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2] pubkeycol826 = [1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol827 = [2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol828 = [2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2] pubkeycol829 = [0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1] pubkeycol830 = [1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1] pubkeycol831 = [0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol832 = [0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol833 = [0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol834 = [1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0] pubkeycol835 = [1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol836 = [2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol837 = [0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1] pubkeycol838 = [1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0] pubkeycol839 = [1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0] pubkeycol840 = [1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol841 = [2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0] pubkeycol842 = [1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol843 = [2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1] pubkeycol844 = [0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol845 = [0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2] pubkeycol846 = [0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0] pubkeycol847 = [2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol848 = [1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0] pubkeycol849 = [1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1] pubkeycol850 = [1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0] pubkeycol851 = [0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol852 = [2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol853 = [1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol854 = [1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol855 = [0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol856 = [1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol857 = [1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1] pubkeycol858 = [0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2] pubkeycol859 = [0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0] pubkeycol860 = [0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol861 = [0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0] pubkeycol862 = [1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol863 = [2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol864 = [1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol865 = [0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol866 = [0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol867 = [2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0] pubkeycol868 = [2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol869 = [0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2] pubkeycol870 = [0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol871 = [1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0] pubkeycol872 = [1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2] pubkeycol873 = [2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol874 = [2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol875 = [1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol876 = [2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0] pubkeycol877 = [0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2] pubkeycol878 = [2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1] pubkeycol879 = [1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2] pubkeycol880 = [2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol881 = [0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2] pubkeycol882 = [0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2] pubkeycol883 = [1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol884 = [1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol885 = [2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1] pubkeycol886 = [0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1] pubkeycol887 = [2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol888 = [0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol889 = [1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1] pubkeycol890 = [2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol891 = [1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol892 = [1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol893 = [0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol894 = [0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2] pubkeycol895 = [0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1] pubkeycol896 = [1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0] pubkeycol897 = [0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol898 = [1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol899 = [0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol900 = [1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2] pubkeycol901 = [1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1] pubkeycol902 = [1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1] pubkeycol903 = [0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1] pubkeycol904 = [0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2] pubkeycol905 = [0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1] pubkeycol906 = [2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol907 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol908 = [0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol909 = [1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol910 = [2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol911 = [2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol912 = [2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1] pubkeycol913 = [1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0] pubkeycol914 = [1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1] pubkeycol915 = [0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol916 = [2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2] pubkeycol917 = [0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2] pubkeycol918 = [0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol919 = [0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol920 = [0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol921 = [0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol922 = [0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1] pubkeycol923 = [1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol924 = [1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1] pubkeycol925 = [0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol926 = [1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol927 = [0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol928 = [2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1] pubkeycol929 = [0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0] pubkeycol930 = [2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol931 = [1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol932 = [0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol933 = [2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0] pubkeycol934 = [2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol935 = [2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0] pubkeycol936 = [2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol937 = [1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1] pubkeycol938 = [1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol939 = [0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol940 = [0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol941 = [1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0] pubkeycol942 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol943 = [0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol944 = [0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0] pubkeycol945 = [1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol946 = [2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol947 = [1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol948 = [0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol949 = [2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1] pubkeycol950 = [0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol951 = [0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol952 = [1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1] pubkeycol953 = [0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol954 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol955 = [2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol956 = [0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2] pubkeycol957 = [1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2] pubkeycol958 = [1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1] pubkeycol959 = [0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1] pubkeycol960 = [2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol961 = [0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1] pubkeycol962 = [0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol963 = [2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol964 = [0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1] pubkeycol965 = [2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol966 = [0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1] pubkeycol967 = [0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0] pubkeycol968 = [1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2] pubkeycol969 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol970 = [0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol971 = [0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0] pubkeycol972 = [1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1] pubkeycol973 = [0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol974 = [1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0] pubkeycol975 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2] pubkeycol976 = [0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol977 = [0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol978 = [1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2] pubkeycol979 = [2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol980 = [1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol981 = [0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol982 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0] pubkeycol983 = [0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1] pubkeycol984 = [1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1] pubkeycol985 = [0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol986 = [0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2] pubkeycol987 = [1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol988 = [1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol989 = [0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol990 = [1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol991 = [0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2] pubkeycol992 = [0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol993 = [1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol994 = [0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol995 = [0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol996 = [1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol997 = [0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol998 = [0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1] pubkeycol999 = [2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol1000 = [0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol1001 = [1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol1002 = [2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1] pubkeycol1003 = [2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol1004 = [1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1] pubkeycol1005 = [1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0] pubkeycol1006 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol1007 = [2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol1008 = [0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1] pubkeycol1009 = [0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol1010 = [2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol1011 = [2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0] pubkeycol1012 = [2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2] pubkeycol1013 = [1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol1014 = [2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol1015 = [2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol1016 = [0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0] pubkeycol1017 = [2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol1018 = [0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1] pubkeycol1019 = [2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol1020 = [1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1] pubkeycol1021 = [0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol1022 = [1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol1023 = [0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0] pubkeycol1024 = [1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2] pubkeycol1025 = [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0] pubkeycol1026 = [2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol1027 = [1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0] pubkeycol1028 = [0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol1029 = [1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2] pubkeycol1030 = [1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2] pubkeycol1031 = [0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0] pubkeycol1032 = [2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1] pubkeycol1033 = [0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol1034 = [0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2] pubkeycol1035 = [0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2] pubkeycol1036 = [1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2] pubkeycol1037 = [1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0] pubkeycol1038 = [2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol1039 = [0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1] pubkeycol1040 = [0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0] pubkeycol1041 = [1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol1042 = [1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0] pubkeycol1043 = [2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol1044 = [1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol1045 = [1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2] pubkeycol1046 = [1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol1047 = [1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0] pubkeycol1048 = [2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1] pubkeycol1049 = [1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol1050 = [2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1] pubkeycol1051 = [1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol1052 = [1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol1053 = [1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0] pubkeycol1054 = [0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2] pubkeycol1055 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2] pubkeycol1056 = [0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2] pubkeycol1057 = [2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol1058 = [0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2] pubkeycol1059 = [2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol1060 = [2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol1061 = [0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol1062 = [2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2] pubkeycol1063 = [2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol1064 = [0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol1065 = [2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2] pubkeycol1066 = [2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol1067 = [1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0] pubkeycol1068 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol1069 = [2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1] pubkeycol1070 = [1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol1071 = [2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol1072 = [2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0] pubkeycol1073 = [0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0] pubkeycol1074 = [2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0] pubkeycol1075 = [2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0] pubkeycol1076 = [1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol1077 = [0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2] pubkeycol1078 = [2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol1079 = [1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol1080 = [0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol1081 = [2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0] pubkeycol1082 = [0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol1083 = [1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2] pubkeycol1084 = [2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol1085 = [1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol1086 = [1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2] pubkeycol1087 = [1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2] pubkeycol1088 = [0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2] pubkeycol1089 = [0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0] pubkeycol1090 = [1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol1091 = [1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol1092 = [0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1] pubkeycol1093 = [0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1] pubkeycol1094 = [1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol1095 = [1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0] pubkeycol1096 = [0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol1097 = [1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol1098 = [0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0] pubkeycol1099 = [2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2] pubkeycol1100 = [1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1] pubkeycol1101 = [2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol1102 = [2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2] pubkeycol1103 = [2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol1104 = [0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2] pubkeycol1105 = [0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1] pubkeycol1106 = [0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol1107 = [2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol1108 = [2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol1109 = [0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2] pubkeycol1110 = [2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1] pubkeycol1111 = [1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol1112 = [0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1] pubkeycol1113 = [0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1] pubkeycol1114 = [1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol1115 = [0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol1116 = [0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol1117 = [1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2] pubkeycol1118 = [1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2] pubkeycol1119 = [0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1] pubkeycol1120 = [1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol1121 = [1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol1122 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0] pubkeycol1123 = [1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol1124 = [0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2] pubkeycol1125 = [1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1] pubkeycol1126 = [2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol1127 = [1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol1128 = [2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2] pubkeycol1129 = [1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2] pubkeycol1130 = [0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol1131 = [1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0]