kilobytes = 55.9558318797079 q = 3 m = 7 n = 1247 s = 0 t = 22 u = 44 k = 939 w = 33 ciphertext = [2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1] recovered_plaintext_using_secret_key = True pubkeycol308 = [0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2] pubkeycol309 = [1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol310 = [0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol311 = [0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1] pubkeycol312 = [1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol313 = [0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1] pubkeycol314 = [0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1] pubkeycol315 = [1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol316 = [0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol317 = [2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1] pubkeycol318 = [1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol319 = [0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol320 = [1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol321 = [0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol322 = [1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol323 = [2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1] pubkeycol324 = [0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol325 = [0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol326 = [0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol327 = [0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0] pubkeycol328 = [1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1] pubkeycol329 = [2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0] pubkeycol330 = [1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0] pubkeycol331 = [2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol332 = [1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol333 = [1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol334 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol335 = [0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0] pubkeycol336 = [1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol337 = [2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0] pubkeycol338 = [1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol339 = [0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol340 = [1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol341 = [1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol342 = [1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol343 = [1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0] pubkeycol344 = [0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol345 = [2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0] pubkeycol346 = [1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1] pubkeycol347 = [2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol348 = [2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2] pubkeycol349 = [0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol350 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol351 = [2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0] pubkeycol352 = [2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol353 = [0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2] pubkeycol354 = [2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol355 = [1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol356 = [2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0] pubkeycol357 = [2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol358 = [2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1] pubkeycol359 = [2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2] pubkeycol360 = [1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol361 = [0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1] pubkeycol362 = [0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1] pubkeycol363 = [0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1] pubkeycol364 = [1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol365 = [2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol366 = [1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol367 = [0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol368 = [1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol369 = [1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol370 = [0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol371 = [0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol372 = [0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1] pubkeycol373 = [2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol374 = [0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1] pubkeycol375 = [1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1] pubkeycol376 = [2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol377 = [0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2] pubkeycol378 = [1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol379 = [0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol380 = [1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0] pubkeycol381 = [1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0] pubkeycol382 = [0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol383 = [0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol384 = [1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol385 = [2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1] pubkeycol386 = [2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol387 = [0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol388 = [2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1] pubkeycol389 = [2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol390 = [2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol391 = [1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1] pubkeycol392 = [1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2] pubkeycol393 = [0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2] pubkeycol394 = [0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1] pubkeycol395 = [0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2] pubkeycol396 = [1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol397 = [1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol398 = [0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0] pubkeycol399 = [2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0] pubkeycol400 = [1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0] pubkeycol401 = [2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2] pubkeycol402 = [2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2] pubkeycol403 = [1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0] pubkeycol404 = [0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol405 = [1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol406 = [0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol407 = [2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0] pubkeycol408 = [1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol409 = [0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol410 = [1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0] pubkeycol411 = [2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol412 = [1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0] pubkeycol413 = [0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0] pubkeycol414 = [0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0] pubkeycol415 = [0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol416 = [1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0] pubkeycol417 = [2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol418 = [1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol419 = [0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0] pubkeycol420 = [0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1] pubkeycol421 = [2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2] pubkeycol422 = [2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0] pubkeycol423 = [2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol424 = [0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol425 = [1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0] pubkeycol426 = [2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0] pubkeycol427 = [1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol428 = [0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2] pubkeycol429 = [0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2] pubkeycol430 = [2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol431 = [2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol432 = [2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1] pubkeycol433 = [2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0] pubkeycol434 = [0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2] pubkeycol435 = [1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1] pubkeycol436 = [2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0] pubkeycol437 = [1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1] pubkeycol438 = [0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol439 = [2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol440 = [0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol441 = [1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol442 = [0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1] pubkeycol443 = [1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol444 = [1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol445 = [1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2] pubkeycol446 = [1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0] pubkeycol447 = [1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0] pubkeycol448 = [1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0] pubkeycol449 = [1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2] pubkeycol450 = [1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol451 = [0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2] pubkeycol452 = [0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol453 = [2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2] pubkeycol454 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0] pubkeycol455 = [2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol456 = [0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol457 = [0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol458 = [1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2] pubkeycol459 = [2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2] pubkeycol460 = [1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol461 = [2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1] pubkeycol462 = [0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol463 = [1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0] pubkeycol464 = [0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2] pubkeycol465 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol466 = [2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol467 = [1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol468 = [2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol469 = [1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2] pubkeycol470 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0] pubkeycol471 = [2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol472 = [0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol473 = [2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol474 = [1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol475 = [1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1] pubkeycol476 = [0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2] pubkeycol477 = [1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol478 = [2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1] pubkeycol479 = [2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol480 = [2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol481 = [1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol482 = [1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol483 = [2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol484 = [2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0] pubkeycol485 = [0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol486 = [0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol487 = [0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol488 = [2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0] pubkeycol489 = [1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0] pubkeycol490 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2] pubkeycol491 = [2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol492 = [1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol493 = [2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0] pubkeycol494 = [0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol495 = [1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2] pubkeycol496 = [1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1] pubkeycol497 = [0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0] pubkeycol498 = [1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0] pubkeycol499 = [2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1] pubkeycol500 = [2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol501 = [2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2] pubkeycol502 = [1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2] pubkeycol503 = [1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol504 = [0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1] pubkeycol505 = [0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0] pubkeycol506 = [1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol507 = [1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0] pubkeycol508 = [0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol509 = [1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2] pubkeycol510 = [2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol511 = [2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol512 = [2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol513 = [1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol514 = [2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2] pubkeycol515 = [1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1] pubkeycol516 = [2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol517 = [0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2] pubkeycol518 = [1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1] pubkeycol519 = [1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol520 = [1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol521 = [1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1] pubkeycol522 = [2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0] pubkeycol523 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol524 = [2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol525 = [0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0] pubkeycol526 = [2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2] pubkeycol527 = [1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol528 = [2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0] pubkeycol529 = [1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0] pubkeycol530 = [1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol531 = [0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1] pubkeycol532 = [2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol533 = [2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0] pubkeycol534 = [2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol535 = [2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1] pubkeycol536 = [0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol537 = [2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0] pubkeycol538 = [2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0] pubkeycol539 = [1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol540 = [0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2] pubkeycol541 = [1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1] pubkeycol542 = [1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0] pubkeycol543 = [2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2] pubkeycol544 = [2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2] pubkeycol545 = [0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1] pubkeycol546 = [1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol547 = [2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0] pubkeycol548 = [2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol549 = [2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol550 = [1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol551 = [0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2] pubkeycol552 = [0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol553 = [0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol554 = [1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol555 = [1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol556 = [0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol557 = [2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1] pubkeycol558 = [1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0] pubkeycol559 = [2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1] pubkeycol560 = [0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2] pubkeycol561 = [1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1] pubkeycol562 = [1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2] pubkeycol563 = [1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol564 = [1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol565 = [1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2] pubkeycol566 = [2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol567 = [2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol568 = [0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0] pubkeycol569 = [1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol570 = [0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0] pubkeycol571 = [2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol572 = [1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol573 = [0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2] pubkeycol574 = [1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2] pubkeycol575 = [2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol576 = [1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol577 = [2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol578 = [0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2] pubkeycol579 = [2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2] pubkeycol580 = [1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol581 = [2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol582 = [2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1] pubkeycol583 = [1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2] pubkeycol584 = [2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0] pubkeycol585 = [0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2] pubkeycol586 = [1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0] pubkeycol587 = [0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol588 = [1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol589 = [1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0] pubkeycol590 = [1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol591 = [0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol592 = [1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0] pubkeycol593 = [0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol594 = [2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol595 = [1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol596 = [0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1] pubkeycol597 = [2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1] pubkeycol598 = [2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1] pubkeycol599 = [1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol600 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol601 = [0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2] pubkeycol602 = [2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol603 = [0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol604 = [0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol605 = [0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol606 = [1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol607 = [2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol608 = [0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1] pubkeycol609 = [1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol610 = [1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol611 = [1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol612 = [2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol613 = [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2] pubkeycol614 = [1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2] pubkeycol615 = [1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol616 = [1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol617 = [0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2] pubkeycol618 = [2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0] pubkeycol619 = [1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2] pubkeycol620 = [1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol621 = [1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol622 = [0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol623 = [1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol624 = [0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol625 = [2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol626 = [1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol627 = [0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1] pubkeycol628 = [0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol629 = [2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0] pubkeycol630 = [2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol631 = [0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1] pubkeycol632 = [2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol633 = [2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol634 = [1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2] pubkeycol635 = [0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0] pubkeycol636 = [0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2] pubkeycol637 = [2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol638 = [0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol639 = [2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol640 = [2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0] pubkeycol641 = [2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2] pubkeycol642 = [2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol643 = [1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol644 = [2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol645 = [2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol646 = [1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol647 = [1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol648 = [1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol649 = [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol650 = [0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1] pubkeycol651 = [0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1] pubkeycol652 = [1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol653 = [0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2] pubkeycol654 = [1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1] pubkeycol655 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1] pubkeycol656 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol657 = [2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2] pubkeycol658 = [2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0] pubkeycol659 = [0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol660 = [1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol661 = [1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1] pubkeycol662 = [1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol663 = [2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol664 = [0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1] pubkeycol665 = [2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol666 = [2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol667 = [2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2] pubkeycol668 = [1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2] pubkeycol669 = [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol670 = [1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol671 = [0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0] pubkeycol672 = [0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol673 = [1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol674 = [1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol675 = [1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2] pubkeycol676 = [2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol677 = [2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol678 = [0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1] pubkeycol679 = [2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1] pubkeycol680 = [1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2] pubkeycol681 = [0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0] pubkeycol682 = [2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol683 = [1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0] pubkeycol684 = [2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0] pubkeycol685 = [1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol686 = [0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0] pubkeycol687 = [1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol688 = [1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol689 = [1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol690 = [0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol691 = [2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol692 = [0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol693 = [2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol694 = [1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol695 = [0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1] pubkeycol696 = [1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol697 = [0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol698 = [2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2] pubkeycol699 = [0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2] pubkeycol700 = [1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1] pubkeycol701 = [2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1] pubkeycol702 = [1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1] pubkeycol703 = [1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0] pubkeycol704 = [2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0] pubkeycol705 = [2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol706 = [0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol707 = [0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol708 = [0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0] pubkeycol709 = [0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol710 = [2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol711 = [1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0] pubkeycol712 = [1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1] pubkeycol713 = [2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2] pubkeycol714 = [0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol715 = [0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol716 = [1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol717 = [0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol718 = [1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol719 = [1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1] pubkeycol720 = [2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2] pubkeycol721 = [1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol722 = [2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2] pubkeycol723 = [1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol724 = [2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2] pubkeycol725 = [0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol726 = [1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol727 = [2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1] pubkeycol728 = [2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol729 = [1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1] pubkeycol730 = [1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0] pubkeycol731 = [1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol732 = [1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1] pubkeycol733 = [1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol734 = [0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol735 = [1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1] pubkeycol736 = [2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0] pubkeycol737 = [0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1] pubkeycol738 = [0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol739 = [2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0] pubkeycol740 = [2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2] pubkeycol741 = [1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0] pubkeycol742 = [0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol743 = [0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol744 = [0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol745 = [2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1] pubkeycol746 = [1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol747 = [1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol748 = [2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0] pubkeycol749 = [2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol750 = [1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol751 = [1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0] pubkeycol752 = [0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol753 = [0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1] pubkeycol754 = [1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0] pubkeycol755 = [1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol756 = [0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol757 = [1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0] pubkeycol758 = [1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1] pubkeycol759 = [1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol760 = [1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol761 = [0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1] pubkeycol762 = [2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1] pubkeycol763 = [2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2] pubkeycol764 = [0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol765 = [0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2] pubkeycol766 = [1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol767 = [0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol768 = [1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1] pubkeycol769 = [1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0] pubkeycol770 = [2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol771 = [1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol772 = [1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol773 = [0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2] pubkeycol774 = [2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol775 = [0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1] pubkeycol776 = [0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol777 = [2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol778 = [2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0] pubkeycol779 = [1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol780 = [2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol781 = [1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2] pubkeycol782 = [0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol783 = [1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol784 = [1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol785 = [1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol786 = [0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1] pubkeycol787 = [1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol788 = [0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol789 = [1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol790 = [1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol791 = [2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol792 = [0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol793 = [0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1] pubkeycol794 = [2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol795 = [1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol796 = [1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol797 = [2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol798 = [0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1] pubkeycol799 = [2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2] pubkeycol800 = [1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2] pubkeycol801 = [0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol802 = [0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol803 = [1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1] pubkeycol804 = [0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2] pubkeycol805 = [1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2] pubkeycol806 = [1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol807 = [0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol808 = [1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1] pubkeycol809 = [1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol810 = [2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1] pubkeycol811 = [0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol812 = [0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2] pubkeycol813 = [1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol814 = [1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol815 = [0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol816 = [2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0] pubkeycol817 = [2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol818 = [1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2] pubkeycol819 = [2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0] pubkeycol820 = [1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2] pubkeycol821 = [2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0] pubkeycol822 = [2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1] pubkeycol823 = [1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0] pubkeycol824 = [2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol825 = [2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol826 = [1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol827 = [0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0] pubkeycol828 = [0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2] pubkeycol829 = [0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1] pubkeycol830 = [2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol831 = [2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1] pubkeycol832 = [1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1] pubkeycol833 = [0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1] pubkeycol834 = [0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0] pubkeycol835 = [2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol836 = [1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0] pubkeycol837 = [2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0] pubkeycol838 = [2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2] pubkeycol839 = [2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol840 = [1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1] pubkeycol841 = [1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2] pubkeycol842 = [2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2] pubkeycol843 = [1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0] pubkeycol844 = [2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol845 = [2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol846 = [2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol847 = [1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2] pubkeycol848 = [1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0] pubkeycol849 = [2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol850 = [2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2] pubkeycol851 = [1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol852 = [0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol853 = [0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol854 = [1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol855 = [0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol856 = [0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol857 = [0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol858 = [2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol859 = [0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol860 = [0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol861 = [1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol862 = [2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0] pubkeycol863 = [2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol864 = [1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol865 = [1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol866 = [1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1] pubkeycol867 = [1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol868 = [2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1] pubkeycol869 = [2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol870 = [1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol871 = [2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol872 = [0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol873 = [2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0] pubkeycol874 = [2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2] pubkeycol875 = [1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol876 = [0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2] pubkeycol877 = [2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1] pubkeycol878 = [2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol879 = [2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1] pubkeycol880 = [0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0] pubkeycol881 = [2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol882 = [0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol883 = [0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0] pubkeycol884 = [1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0] pubkeycol885 = [2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2] pubkeycol886 = [0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol887 = [2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2] pubkeycol888 = [2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0] pubkeycol889 = [1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol890 = [2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2] pubkeycol891 = [2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1] pubkeycol892 = [0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol893 = [1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol894 = [2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol895 = [0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol896 = [0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1] pubkeycol897 = [0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1] pubkeycol898 = [2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0] pubkeycol899 = [2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2] pubkeycol900 = [0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0] pubkeycol901 = [2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol902 = [2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1] pubkeycol903 = [0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1] pubkeycol904 = [0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol905 = [2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2] pubkeycol906 = [2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1] pubkeycol907 = [2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2] pubkeycol908 = [0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0] pubkeycol909 = [0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0] pubkeycol910 = [2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1] pubkeycol911 = [0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol912 = [0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol913 = [2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol914 = [0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1] pubkeycol915 = [2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2] pubkeycol916 = [0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0] pubkeycol917 = [2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1] pubkeycol918 = [0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol919 = [2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol920 = [0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol921 = [0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0] pubkeycol922 = [2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2] pubkeycol923 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol924 = [2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol925 = [2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol926 = [2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol927 = [1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol928 = [0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol929 = [2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2] pubkeycol930 = [2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0] pubkeycol931 = [0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1] pubkeycol932 = [2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol933 = [1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0] pubkeycol934 = [0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol935 = [0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1] pubkeycol936 = [1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol937 = [2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0] pubkeycol938 = [2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1] pubkeycol939 = [0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1] pubkeycol940 = [1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol941 = [0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol942 = [0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol943 = [1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol944 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1] pubkeycol945 = [2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol946 = [1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol947 = [2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol948 = [2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0] pubkeycol949 = [1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol950 = [0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0] pubkeycol951 = [2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1] pubkeycol952 = [2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1] pubkeycol953 = [0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol954 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol955 = [1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol956 = [1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1] pubkeycol957 = [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol958 = [0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol959 = [0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2] pubkeycol960 = [1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol961 = [1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol962 = [2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0] pubkeycol963 = [0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1] pubkeycol964 = [2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1] pubkeycol965 = [0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0] pubkeycol966 = [0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2] pubkeycol967 = [2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol968 = [2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0] pubkeycol969 = [1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol970 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0] pubkeycol971 = [1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol972 = [0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol973 = [1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol974 = [1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol975 = [1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol976 = [1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol977 = [2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol978 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2] pubkeycol979 = [1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol980 = [0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol981 = [1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0] pubkeycol982 = [0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol983 = [0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2] pubkeycol984 = [2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol985 = [1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1] pubkeycol986 = [0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2] pubkeycol987 = [1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol988 = [1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1] pubkeycol989 = [0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol990 = [1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0] pubkeycol991 = [1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0] pubkeycol992 = [0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0] pubkeycol993 = [1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1] pubkeycol994 = [2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol995 = [2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol996 = [0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2] pubkeycol997 = [0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0] pubkeycol998 = [2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol999 = [2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol1000 = [2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1001 = [1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol1002 = [2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1] pubkeycol1003 = [2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2] pubkeycol1004 = [1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1] pubkeycol1005 = [1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1] pubkeycol1006 = [2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0] pubkeycol1007 = [0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol1008 = [0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol1009 = [1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol1010 = [0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol1011 = [1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol1012 = [2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0] pubkeycol1013 = [0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0] pubkeycol1014 = [2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol1015 = [0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol1016 = [1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1] pubkeycol1017 = [2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0] pubkeycol1018 = [1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2] pubkeycol1019 = [0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol1020 = [0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol1021 = [2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1] pubkeycol1022 = [1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1] pubkeycol1023 = [0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1] pubkeycol1024 = [0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0] pubkeycol1025 = [2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol1026 = [2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1027 = [1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol1028 = [0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2] pubkeycol1029 = [2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol1030 = [0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1] pubkeycol1031 = [0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0] pubkeycol1032 = [2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol1033 = [1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol1034 = [2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol1035 = [1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol1036 = [2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol1037 = [2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol1038 = [1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol1039 = [2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol1040 = [1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol1041 = [0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol1042 = [0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol1043 = [0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol1044 = [0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1] pubkeycol1045 = [1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0] pubkeycol1046 = [0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol1047 = [0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2] pubkeycol1048 = [2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol1049 = [1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol1050 = [1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol1051 = [0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1] pubkeycol1052 = [2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol1053 = [1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2] pubkeycol1054 = [2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol1055 = [0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1] pubkeycol1056 = [1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol1057 = [1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol1058 = [0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol1059 = [1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0] pubkeycol1060 = [0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol1061 = [0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol1062 = [2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2] pubkeycol1063 = [2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol1064 = [1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol1065 = [0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol1066 = [2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2] pubkeycol1067 = [2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol1068 = [2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1] pubkeycol1069 = [2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1] pubkeycol1070 = [1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2] pubkeycol1071 = [2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1] pubkeycol1072 = [0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1] pubkeycol1073 = [0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol1074 = [1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1] pubkeycol1075 = [0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1] pubkeycol1076 = [2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2] pubkeycol1077 = [1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol1078 = [0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2] pubkeycol1079 = [1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol1080 = [2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0] pubkeycol1081 = [2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1] pubkeycol1082 = [1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol1083 = [0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol1084 = [0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol1085 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2] pubkeycol1086 = [0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol1087 = [0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol1088 = [0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol1089 = [1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol1090 = [1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol1091 = [1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol1092 = [0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol1093 = [0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1] pubkeycol1094 = [1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1] pubkeycol1095 = [1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2] pubkeycol1096 = [0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol1097 = [2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2] pubkeycol1098 = [1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0] pubkeycol1099 = [0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol1100 = [0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol1101 = [0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2] pubkeycol1102 = [0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol1103 = [1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol1104 = [1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0] pubkeycol1105 = [2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol1106 = [0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol1107 = [0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0] pubkeycol1108 = [1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2] pubkeycol1109 = [0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2] pubkeycol1110 = [0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol1111 = [2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol1112 = [1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol1113 = [0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol1114 = [2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol1115 = [0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1] pubkeycol1116 = [1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0] pubkeycol1117 = [2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol1118 = [1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol1119 = [1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2] pubkeycol1120 = [1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2] pubkeycol1121 = [1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2] pubkeycol1122 = [0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2] pubkeycol1123 = [2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol1124 = [0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol1125 = [1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol1126 = [1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2] pubkeycol1127 = [1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol1128 = [0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0] pubkeycol1129 = [1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0] pubkeycol1130 = [2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol1131 = [0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol1132 = [0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol1133 = [0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0] pubkeycol1134 = [2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol1135 = [1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol1136 = [1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol1137 = [1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1] pubkeycol1138 = [2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2] pubkeycol1139 = [1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol1140 = [0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1] pubkeycol1141 = [2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1] pubkeycol1142 = [1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol1143 = [0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2] pubkeycol1144 = [1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0] pubkeycol1145 = [0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol1146 = [2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2] pubkeycol1147 = [2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol1148 = [1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol1149 = [1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol1150 = [0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol1151 = [1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2] pubkeycol1152 = [0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2] pubkeycol1153 = [2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol1154 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol1155 = [0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0] pubkeycol1156 = [1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol1157 = [2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2] pubkeycol1158 = [2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1] pubkeycol1159 = [1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol1160 = [0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1] pubkeycol1161 = [0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0] pubkeycol1162 = [2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1] pubkeycol1163 = [0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol1164 = [2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0] pubkeycol1165 = [2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol1166 = [1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol1167 = [0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0] pubkeycol1168 = [2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol1169 = [0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol1170 = [1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol1171 = [0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0] pubkeycol1172 = [1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol1173 = [1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol1174 = [1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0] pubkeycol1175 = [2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol1176 = [1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0] pubkeycol1177 = [0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol1178 = [1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol1179 = [0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0] pubkeycol1180 = [2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1] pubkeycol1181 = [2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol1182 = [0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1] pubkeycol1183 = [0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1] pubkeycol1184 = [0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol1185 = [0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol1186 = [1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2] pubkeycol1187 = [2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol1188 = [2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol1189 = [0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2] pubkeycol1190 = [0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol1191 = [1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1] pubkeycol1192 = [0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol1193 = [0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol1194 = [1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1] pubkeycol1195 = [1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol1196 = [1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2] pubkeycol1197 = [2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol1198 = [0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol1199 = [1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0] pubkeycol1200 = [1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2] pubkeycol1201 = [1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0] pubkeycol1202 = [2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0] pubkeycol1203 = [2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol1204 = [2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol1205 = [0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0] pubkeycol1206 = [0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1] pubkeycol1207 = [2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1] pubkeycol1208 = [1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2] pubkeycol1209 = [2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol1210 = [0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2] pubkeycol1211 = [2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1] pubkeycol1212 = [1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol1213 = [2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0] pubkeycol1214 = [1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol1215 = [0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0] pubkeycol1216 = [0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol1217 = [0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2] pubkeycol1218 = [2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1] pubkeycol1219 = [2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1] pubkeycol1220 = [2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0] pubkeycol1221 = [0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0] pubkeycol1222 = [0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1] pubkeycol1223 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1] pubkeycol1224 = [1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol1225 = [2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol1226 = [0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol1227 = [2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol1228 = [2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0] pubkeycol1229 = [1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol1230 = [1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol1231 = [0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0] pubkeycol1232 = [2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2] pubkeycol1233 = [1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol1234 = [2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2] pubkeycol1235 = [0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol1236 = [2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol1237 = [1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0] pubkeycol1238 = [2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol1239 = [0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol1240 = [2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol1241 = [2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol1242 = [2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0] pubkeycol1243 = [1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol1244 = [2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0] pubkeycol1245 = [0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1] pubkeycol1246 = [2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2]